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Finding the Third Proportional to 38,963 and 59,585

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Solution

The third proportional to 38,963 and 59,585 is: 91,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,963 : 59,585 = 59,585 : x
  2. Step 2: Convert to fraction form
    38,963/59,585 = 59,585/x
  3. Step 3: Cross multiply
    38,963x = 59,585 × 59,585
  4. Step 4: Simplify right side
    38,963x = 3,550,372,225
  5. Step 5: Solve for x
    x = 3,550,372,225/38,963
  6. Step 6: Final answer
    x = 91,121.63

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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.