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Finding the Third Proportional to 24,374 and 36,457

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Solution

The third proportional to 24,374 and 36,457 is: 54,529.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,374 : 36,457 = 36,457 : x
  2. Step 2: Convert to fraction form
    24,374/36,457 = 36,457/x
  3. Step 3: Cross multiply
    24,374x = 36,457 × 36,457
  4. Step 4: Simplify right side
    24,374x = 1,329,112,849
  5. Step 5: Solve for x
    x = 1,329,112,849/24,374
  6. Step 6: Final answer
    x = 54,529.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.