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Finding the Third Proportional to 5,325.12 and 6,979.61

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Solution

The third proportional to 5,325.12 and 6,979.61 is: 9,148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.12 : 6,979.61 = 6,979.61 : x
  2. Step 2: Convert to fraction form
    5,325.12/6,979.61 = 6,979.61/x
  3. Step 3: Cross multiply
    5,325.12x = 6,979.61 × 6,979.61
  4. Step 4: Simplify right side
    5,325.12x = 48,714,892.50
  5. Step 5: Solve for x
    x = 48,714,892.50/5,325.12
  6. Step 6: Final answer
    x = 9,148.14

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.