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Finding the Third Proportional to 48,717 and 59,346

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Solution

The third proportional to 48,717 and 59,346 is: 72,294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,717 : 59,346 = 59,346 : x
  2. Step 2: Convert to fraction form
    48,717/59,346 = 59,346/x
  3. Step 3: Cross multiply
    48,717x = 59,346 × 59,346
  4. Step 4: Simplify right side
    48,717x = 3,521,947,716
  5. Step 5: Solve for x
    x = 3,521,947,716/48,717
  6. Step 6: Final answer
    x = 72,294.02

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.