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Finding the Third Proportional to 47,531.25 and 66,453

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Solution

The third proportional to 47,531.25 and 66,453 is: 92,907.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,531.25 : 66,453 = 66,453 : x
  2. Step 2: Convert to fraction form
    47,531.25/66,453 = 66,453/x
  3. Step 3: Cross multiply
    47,531.25x = 66,453 × 66,453
  4. Step 4: Simplify right side
    47,531.25x = 4,416,001,209
  5. Step 5: Solve for x
    x = 4,416,001,209/47,531.25
  6. Step 6: Final answer
    x = 92,907.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.