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Finding the Third Proportional to 5,752.13 and 9,091.69

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Solution

The third proportional to 5,752.13 and 9,091.69 is: 14,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.13 : 9,091.69 = 9,091.69 : x
  2. Step 2: Convert to fraction form
    5,752.13/9,091.69 = 9,091.69/x
  3. Step 3: Cross multiply
    5,752.13x = 9,091.69 × 9,091.69
  4. Step 4: Simplify right side
    5,752.13x = 82,658,781.60
  5. Step 5: Solve for x
    x = 82,658,781.60/5,752.13
  6. Step 6: Final answer
    x = 14,370.13

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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.