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Finding the Third Proportional to 13,177.13 and 28,369.13

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Solution

The third proportional to 13,177.13 and 28,369.13 is: 61,076.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,177.13 : 28,369.13 = 28,369.13 : x
  2. Step 2: Convert to fraction form
    13,177.13/28,369.13 = 28,369.13/x
  3. Step 3: Cross multiply
    13,177.13x = 28,369.13 × 28,369.13
  4. Step 4: Simplify right side
    13,177.13x = 804,807,253.27
  5. Step 5: Solve for x
    x = 804,807,253.27/13,177.13
  6. Step 6: Final answer
    x = 61,076.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.