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Finding the Third Proportional to 15,243.19 and 22,831.88

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Solution

The third proportional to 15,243.19 and 22,831.88 is: 34,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,243.19 : 22,831.88 = 22,831.88 : x
  2. Step 2: Convert to fraction form
    15,243.19/22,831.88 = 22,831.88/x
  3. Step 3: Cross multiply
    15,243.19x = 22,831.88 × 22,831.88
  4. Step 4: Simplify right side
    15,243.19x = 521,294,516.02
  5. Step 5: Solve for x
    x = 521,294,516.02/15,243.19
  6. Step 6: Final answer
    x = 34,198.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.