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Finding the Third Proportional to 15,343.17 and 23,424.82

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Solution

The third proportional to 15,343.17 and 23,424.82 is: 35,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,343.17 : 23,424.82 = 23,424.82 : x
  2. Step 2: Convert to fraction form
    15,343.17/23,424.82 = 23,424.82/x
  3. Step 3: Cross multiply
    15,343.17x = 23,424.82 × 23,424.82
  4. Step 4: Simplify right side
    15,343.17x = 548,722,206.67
  5. Step 5: Solve for x
    x = 548,722,206.67/15,343.17
  6. Step 6: Final answer
    x = 35,763.28

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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.