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Finding the Third Proportional to 24,177.38 and 34,047

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Solution

The third proportional to 24,177.38 and 34,047 is: 47,945.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,177.38 : 34,047 = 34,047 : x
  2. Step 2: Convert to fraction form
    24,177.38/34,047 = 34,047/x
  3. Step 3: Cross multiply
    24,177.38x = 34,047 × 34,047
  4. Step 4: Simplify right side
    24,177.38x = 1,159,198,209
  5. Step 5: Solve for x
    x = 1,159,198,209/24,177.38
  6. Step 6: Final answer
    x = 47,945.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.