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Finding the Third Proportional to 10,162.13 and 15,562.13

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Solution

The third proportional to 10,162.13 and 15,562.13 is: 23,831.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.13 : 15,562.13 = 15,562.13 : x
  2. Step 2: Convert to fraction form
    10,162.13/15,562.13 = 15,562.13/x
  3. Step 3: Cross multiply
    10,162.13x = 15,562.13 × 15,562.13
  4. Step 4: Simplify right side
    10,162.13x = 242,179,734.52
  5. Step 5: Solve for x
    x = 242,179,734.52/10,162.13
  6. Step 6: Final answer
    x = 23,831.60

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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.