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Finding the Third Proportional to 28,674 and 67,464.75

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Solution

The third proportional to 28,674 and 67,464.75 is: 158,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,674 : 67,464.75 = 67,464.75 : x
  2. Step 2: Convert to fraction form
    28,674/67,464.75 = 67,464.75/x
  3. Step 3: Cross multiply
    28,674x = 67,464.75 × 67,464.75
  4. Step 4: Simplify right side
    28,674x = 4,551,492,492.56
  5. Step 5: Solve for x
    x = 4,551,492,492.56/28,674
  6. Step 6: Final answer
    x = 158,732.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.