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Finding the Third Proportional to 27,974 and 40,457

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Solution

The third proportional to 27,974 and 40,457 is: 58,510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,974 : 40,457 = 40,457 : x
  2. Step 2: Convert to fraction form
    27,974/40,457 = 40,457/x
  3. Step 3: Cross multiply
    27,974x = 40,457 × 40,457
  4. Step 4: Simplify right side
    27,974x = 1,636,768,849
  5. Step 5: Solve for x
    x = 1,636,768,849/27,974
  6. Step 6: Final answer
    x = 58,510.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.