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Finding the Third Proportional to 38,394 and 59,319

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Solution

The third proportional to 38,394 and 59,319 is: 91,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,394 : 59,319 = 59,319 : x
  2. Step 2: Convert to fraction form
    38,394/59,319 = 59,319/x
  3. Step 3: Cross multiply
    38,394x = 59,319 × 59,319
  4. Step 4: Simplify right side
    38,394x = 3,518,743,761
  5. Step 5: Solve for x
    x = 3,518,743,761/38,394
  6. Step 6: Final answer
    x = 91,648.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.