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Finding the Third Proportional to 38,793 and 59,317

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Solution

The third proportional to 38,793 and 59,317 is: 90,699.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,793 : 59,317 = 59,317 : x
  2. Step 2: Convert to fraction form
    38,793/59,317 = 59,317/x
  3. Step 3: Cross multiply
    38,793x = 59,317 × 59,317
  4. Step 4: Simplify right side
    38,793x = 3,518,506,489
  5. Step 5: Solve for x
    x = 3,518,506,489/38,793
  6. Step 6: Final answer
    x = 90,699.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.