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Finding the Third Proportional to 5,347.69 and 7,160.91

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Solution

The third proportional to 5,347.69 and 7,160.91 is: 9,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.69 : 7,160.91 = 7,160.91 : x
  2. Step 2: Convert to fraction form
    5,347.69/7,160.91 = 7,160.91/x
  3. Step 3: Cross multiply
    5,347.69x = 7,160.91 × 7,160.91
  4. Step 4: Simplify right side
    5,347.69x = 51,278,578.32
  5. Step 5: Solve for x
    x = 51,278,578.32/5,347.69
  6. Step 6: Final answer
    x = 9,588.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.