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Finding the Third Proportional to 29,650.50 and 45,087

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Solution

The third proportional to 29,650.50 and 45,087 is: 68,559.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,650.50 : 45,087 = 45,087 : x
  2. Step 2: Convert to fraction form
    29,650.50/45,087 = 45,087/x
  3. Step 3: Cross multiply
    29,650.50x = 45,087 × 45,087
  4. Step 4: Simplify right side
    29,650.50x = 2,032,837,569
  5. Step 5: Solve for x
    x = 2,032,837,569/29,650.50
  6. Step 6: Final answer
    x = 68,559.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.