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Finding the Third Proportional to 6,139.13 and 13,339.69

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Solution

The third proportional to 6,139.13 and 13,339.69 is: 28,985.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.13 : 13,339.69 = 13,339.69 : x
  2. Step 2: Convert to fraction form
    6,139.13/13,339.69 = 13,339.69/x
  3. Step 3: Cross multiply
    6,139.13x = 13,339.69 × 13,339.69
  4. Step 4: Simplify right side
    6,139.13x = 177,947,262.60
  5. Step 5: Solve for x
    x = 177,947,262.60/6,139.13
  6. Step 6: Final answer
    x = 28,985.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.