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Finding the Third Proportional to 40,982 and 63,293

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Solution

The third proportional to 40,982 and 63,293 is: 97,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,982 : 63,293 = 63,293 : x
  2. Step 2: Convert to fraction form
    40,982/63,293 = 63,293/x
  3. Step 3: Cross multiply
    40,982x = 63,293 × 63,293
  4. Step 4: Simplify right side
    40,982x = 4,006,003,849
  5. Step 5: Solve for x
    x = 4,006,003,849/40,982
  6. Step 6: Final answer
    x = 97,750.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.