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Finding the Third Proportional to 38,374 and 90,457

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Solution

The third proportional to 38,374 and 90,457 is: 213,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,374 : 90,457 = 90,457 : x
  2. Step 2: Convert to fraction form
    38,374/90,457 = 90,457/x
  3. Step 3: Cross multiply
    38,374x = 90,457 × 90,457
  4. Step 4: Simplify right side
    38,374x = 8,182,468,849
  5. Step 5: Solve for x
    x = 8,182,468,849/38,374
  6. Step 6: Final answer
    x = 213,229.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.