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Finding the Third Proportional to 15,270.38 and 23,359.88

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Solution

The third proportional to 15,270.38 and 23,359.88 is: 35,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,270.38 : 23,359.88 = 23,359.88 : x
  2. Step 2: Convert to fraction form
    15,270.38/23,359.88 = 23,359.88/x
  3. Step 3: Cross multiply
    15,270.38x = 23,359.88 × 23,359.88
  4. Step 4: Simplify right side
    15,270.38x = 545,683,760.02
  5. Step 5: Solve for x
    x = 545,683,760.02/15,270.38
  6. Step 6: Final answer
    x = 35,734.80

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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.