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Finding the Third Proportional to 7,730.25 and 11,743.13

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Solution

The third proportional to 7,730.25 and 11,743.13 is: 17,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.25 : 11,743.13 = 11,743.13 : x
  2. Step 2: Convert to fraction form
    7,730.25/11,743.13 = 11,743.13/x
  3. Step 3: Cross multiply
    7,730.25x = 11,743.13 × 11,743.13
  4. Step 4: Simplify right side
    7,730.25x = 137,900,984.77
  5. Step 5: Solve for x
    x = 137,900,984.77/7,730.25
  6. Step 6: Final answer
    x = 17,839.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.