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Finding the Third Proportional to 4,079.74 and 9,158.06

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Solution

The third proportional to 4,079.74 and 9,158.06 is: 20,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,079.74 : 9,158.06 = 9,158.06 : x
  2. Step 2: Convert to fraction form
    4,079.74/9,158.06 = 9,158.06/x
  3. Step 3: Cross multiply
    4,079.74x = 9,158.06 × 9,158.06
  4. Step 4: Simplify right side
    4,079.74x = 83,870,108.75
  5. Step 5: Solve for x
    x = 83,870,108.75/4,079.74
  6. Step 6: Final answer
    x = 20,557.70

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.