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Finding the Third Proportional to 29,982 and 43,315

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Solution

The third proportional to 29,982 and 43,315 is: 62,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,982 : 43,315 = 43,315 : x
  2. Step 2: Convert to fraction form
    29,982/43,315 = 43,315/x
  3. Step 3: Cross multiply
    29,982x = 43,315 × 43,315
  4. Step 4: Simplify right side
    29,982x = 1,876,189,225
  5. Step 5: Solve for x
    x = 1,876,189,225/29,982
  6. Step 6: Final answer
    x = 62,577.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.