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Finding the Third Proportional to 10,212.75 and 24,598.13

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Solution

The third proportional to 10,212.75 and 24,598.13 is: 59,246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.75 : 24,598.13 = 24,598.13 : x
  2. Step 2: Convert to fraction form
    10,212.75/24,598.13 = 24,598.13/x
  3. Step 3: Cross multiply
    10,212.75x = 24,598.13 × 24,598.13
  4. Step 4: Simplify right side
    10,212.75x = 605,067,753.52
  5. Step 5: Solve for x
    x = 605,067,753.52/10,212.75
  6. Step 6: Final answer
    x = 59,246.31

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.