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Finding the Third Proportional to 29,641.50 and 45,214.75

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Solution

The third proportional to 29,641.50 and 45,214.75 is: 68,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,641.50 : 45,214.75 = 45,214.75 : x
  2. Step 2: Convert to fraction form
    29,641.50/45,214.75 = 45,214.75/x
  3. Step 3: Cross multiply
    29,641.50x = 45,214.75 × 45,214.75
  4. Step 4: Simplify right side
    29,641.50x = 2,044,373,617.56
  5. Step 5: Solve for x
    x = 2,044,373,617.56/29,641.50
  6. Step 6: Final answer
    x = 68,969.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.