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Finding the Third Proportional to 10,909.69 and 12,987.84

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Solution

The third proportional to 10,909.69 and 12,987.84 is: 15,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.69 : 12,987.84 = 12,987.84 : x
  2. Step 2: Convert to fraction form
    10,909.69/12,987.84 = 12,987.84/x
  3. Step 3: Cross multiply
    10,909.69x = 12,987.84 × 12,987.84
  4. Step 4: Simplify right side
    10,909.69x = 168,684,085.27
  5. Step 5: Solve for x
    x = 168,684,085.27/10,909.69
  6. Step 6: Final answer
    x = 15,461.86

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These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.