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Finding the Third Proportional to 14,982 and 32,457

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Solution

The third proportional to 14,982 and 32,457 is: 70,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982 : 32,457 = 32,457 : x
  2. Step 2: Convert to fraction form
    14,982/32,457 = 32,457/x
  3. Step 3: Cross multiply
    14,982x = 32,457 × 32,457
  4. Step 4: Simplify right side
    14,982x = 1,053,456,849
  5. Step 5: Solve for x
    x = 1,053,456,849/14,982
  6. Step 6: Final answer
    x = 70,314.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.