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Finding the Third Proportional to 5,158.69 and 6,967.69

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Solution

The third proportional to 5,158.69 and 6,967.69 is: 9,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.69 : 6,967.69 = 6,967.69 : x
  2. Step 2: Convert to fraction form
    5,158.69/6,967.69 = 6,967.69/x
  3. Step 3: Cross multiply
    5,158.69x = 6,967.69 × 6,967.69
  4. Step 4: Simplify right side
    5,158.69x = 48,548,669.10
  5. Step 5: Solve for x
    x = 48,548,669.10/5,158.69
  6. Step 6: Final answer
    x = 9,411.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.