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Finding the Third Proportional to 7,381.13 and 11,909.53

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Solution

The third proportional to 7,381.13 and 11,909.53 is: 19,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.13 : 11,909.53 = 11,909.53 : x
  2. Step 2: Convert to fraction form
    7,381.13/11,909.53 = 11,909.53/x
  3. Step 3: Cross multiply
    7,381.13x = 11,909.53 × 11,909.53
  4. Step 4: Simplify right side
    7,381.13x = 141,836,934.59
  5. Step 5: Solve for x
    x = 141,836,934.59/7,381.13
  6. Step 6: Final answer
    x = 19,216.17

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.