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Finding the Third Proportional to 5,158.69 and 5,707.97

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Solution

The third proportional to 5,158.69 and 5,707.97 is: 6,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.69 : 5,707.97 = 5,707.97 : x
  2. Step 2: Convert to fraction form
    5,158.69/5,707.97 = 5,707.97/x
  3. Step 3: Cross multiply
    5,158.69x = 5,707.97 × 5,707.97
  4. Step 4: Simplify right side
    5,158.69x = 32,580,907.25
  5. Step 5: Solve for x
    x = 32,580,907.25/5,158.69
  6. Step 6: Final answer
    x = 6,315.74

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.