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Finding the Third Proportional to 10,000.13 and 13,177.69

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Solution

The third proportional to 10,000.13 and 13,177.69 is: 17,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.13 : 13,177.69 = 13,177.69 : x
  2. Step 2: Convert to fraction form
    10,000.13/13,177.69 = 13,177.69/x
  3. Step 3: Cross multiply
    10,000.13x = 13,177.69 × 13,177.69
  4. Step 4: Simplify right side
    10,000.13x = 173,651,447.85
  5. Step 5: Solve for x
    x = 173,651,447.85/10,000.13
  6. Step 6: Final answer
    x = 17,364.93

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.