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Finding the Third Proportional to 7,918.13 and 11,503.13

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Solution

The third proportional to 7,918.13 and 11,503.13 is: 16,711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.13 : 11,503.13 = 11,503.13 : x
  2. Step 2: Convert to fraction form
    7,918.13/11,503.13 = 11,503.13/x
  3. Step 3: Cross multiply
    7,918.13x = 11,503.13 × 11,503.13
  4. Step 4: Simplify right side
    7,918.13x = 132,321,884.77
  5. Step 5: Solve for x
    x = 132,321,884.77/7,918.13
  6. Step 6: Final answer
    x = 16,711.26

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.