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Finding the Third Proportional to 15,343.17 and 23,772.23

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Solution

The third proportional to 15,343.17 and 23,772.23 is: 36,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,343.17 : 23,772.23 = 23,772.23 : x
  2. Step 2: Convert to fraction form
    15,343.17/23,772.23 = 23,772.23/x
  3. Step 3: Cross multiply
    15,343.17x = 23,772.23 × 23,772.23
  4. Step 4: Simplify right side
    15,343.17x = 565,119,127.18
  5. Step 5: Solve for x
    x = 565,119,127.18/15,343.17
  6. Step 6: Final answer
    x = 36,831.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.