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Finding the Third Proportional to 13,177.69 and 20,710.69

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Solution

The third proportional to 13,177.69 and 20,710.69 is: 32,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,177.69 : 20,710.69 = 20,710.69 : x
  2. Step 2: Convert to fraction form
    13,177.69/20,710.69 = 20,710.69/x
  3. Step 3: Cross multiply
    13,177.69x = 20,710.69 × 20,710.69
  4. Step 4: Simplify right side
    13,177.69x = 428,932,576.72
  5. Step 5: Solve for x
    x = 428,932,576.72/13,177.69
  6. Step 6: Final answer
    x = 32,549.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.