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Finding the Third Proportional to 12,658.13 and 27,702.75

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Solution

The third proportional to 12,658.13 and 27,702.75 is: 60,628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.13 : 27,702.75 = 27,702.75 : x
  2. Step 2: Convert to fraction form
    12,658.13/27,702.75 = 27,702.75/x
  3. Step 3: Cross multiply
    12,658.13x = 27,702.75 × 27,702.75
  4. Step 4: Simplify right side
    12,658.13x = 767,442,357.56
  5. Step 5: Solve for x
    x = 767,442,357.56/12,658.13
  6. Step 6: Final answer
    x = 60,628.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.