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Finding the Third Proportional to 13,070.74 and 28,294.31

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Solution

The third proportional to 13,070.74 and 28,294.31 is: 61,248.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070.74 : 28,294.31 = 28,294.31 : x
  2. Step 2: Convert to fraction form
    13,070.74/28,294.31 = 28,294.31/x
  3. Step 3: Cross multiply
    13,070.74x = 28,294.31 × 28,294.31
  4. Step 4: Simplify right side
    13,070.74x = 800,568,119.85
  5. Step 5: Solve for x
    x = 800,568,119.85/13,070.74
  6. Step 6: Final answer
    x = 61,248.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.