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Finding the Third Proportional to 47,533 and 66,457

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Solution

The third proportional to 47,533 and 66,457 is: 92,915.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,533 : 66,457 = 66,457 : x
  2. Step 2: Convert to fraction form
    47,533/66,457 = 66,457/x
  3. Step 3: Cross multiply
    47,533x = 66,457 × 66,457
  4. Step 4: Simplify right side
    47,533x = 4,416,532,849
  5. Step 5: Solve for x
    x = 4,416,532,849/47,533
  6. Step 6: Final answer
    x = 92,915.09

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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.