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Finding the Third Proportional to 38,971.13 and 50,662.13

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Solution

The third proportional to 38,971.13 and 50,662.13 is: 65,860.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,971.13 : 50,662.13 = 50,662.13 : x
  2. Step 2: Convert to fraction form
    38,971.13/50,662.13 = 50,662.13/x
  3. Step 3: Cross multiply
    38,971.13x = 50,662.13 × 50,662.13
  4. Step 4: Simplify right side
    38,971.13x = 2,566,650,909.52
  5. Step 5: Solve for x
    x = 2,566,650,909.52/38,971.13
  6. Step 6: Final answer
    x = 65,860.32

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.