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Finding the Third Proportional to 7,732.13 and 11,746.69

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Solution

The third proportional to 7,732.13 and 11,746.69 is: 17,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.13 : 11,746.69 = 11,746.69 : x
  2. Step 2: Convert to fraction form
    7,732.13/11,746.69 = 11,746.69/x
  3. Step 3: Cross multiply
    7,732.13x = 11,746.69 × 11,746.69
  4. Step 4: Simplify right side
    7,732.13x = 137,984,667.22
  5. Step 5: Solve for x
    x = 137,984,667.22/7,732.13
  6. Step 6: Final answer
    x = 17,845.63

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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.