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Finding the Third Proportional to 15,306.47 and 23,411.53

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Solution

The third proportional to 15,306.47 and 23,411.53 is: 35,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,306.47 : 23,411.53 = 23,411.53 : x
  2. Step 2: Convert to fraction form
    15,306.47/23,411.53 = 23,411.53/x
  3. Step 3: Cross multiply
    15,306.47x = 23,411.53 × 23,411.53
  4. Step 4: Simplify right side
    15,306.47x = 548,099,795.47
  5. Step 5: Solve for x
    x = 548,099,795.47/15,306.47
  6. Step 6: Final answer
    x = 35,808.38

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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.