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Finding the Third Proportional to 11,809.50 and 16,510.13

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Solution

The third proportional to 11,809.50 and 16,510.13 is: 23,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.50 : 16,510.13 = 16,510.13 : x
  2. Step 2: Convert to fraction form
    11,809.50/16,510.13 = 16,510.13/x
  3. Step 3: Cross multiply
    11,809.50x = 16,510.13 × 16,510.13
  4. Step 4: Simplify right side
    11,809.50x = 272,584,227.52
  5. Step 5: Solve for x
    x = 272,584,227.52/11,809.50
  6. Step 6: Final answer
    x = 23,081.78

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.