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Finding the Third Proportional to 7,761.13 and 12,294.76

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Solution

The third proportional to 7,761.13 and 12,294.76 is: 19,476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.13 : 12,294.76 = 12,294.76 : x
  2. Step 2: Convert to fraction form
    7,761.13/12,294.76 = 12,294.76/x
  3. Step 3: Cross multiply
    7,761.13x = 12,294.76 × 12,294.76
  4. Step 4: Simplify right side
    7,761.13x = 151,161,021.64
  5. Step 5: Solve for x
    x = 151,161,021.64/7,761.13
  6. Step 6: Final answer
    x = 19,476.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.