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Finding the Third Proportional to 29,982 and 45,516

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Solution

The third proportional to 29,982 and 45,516 is: 69,098.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,982 : 45,516 = 45,516 : x
  2. Step 2: Convert to fraction form
    29,982/45,516 = 45,516/x
  3. Step 3: Cross multiply
    29,982x = 45,516 × 45,516
  4. Step 4: Simplify right side
    29,982x = 2,071,706,256
  5. Step 5: Solve for x
    x = 2,071,706,256/29,982
  6. Step 6: Final answer
    x = 69,098.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.