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Finding the Third Proportional to 35,942 and 54,413

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Solution

The third proportional to 35,942 and 54,413 is: 82,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,942 : 54,413 = 54,413 : x
  2. Step 2: Convert to fraction form
    35,942/54,413 = 54,413/x
  3. Step 3: Cross multiply
    35,942x = 54,413 × 54,413
  4. Step 4: Simplify right side
    35,942x = 2,960,774,569
  5. Step 5: Solve for x
    x = 2,960,774,569/35,942
  6. Step 6: Final answer
    x = 82,376.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.