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Finding the Third Proportional to 6,148.09 and 8,278.14

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Solution

The third proportional to 6,148.09 and 8,278.14 is: 11,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.09 : 8,278.14 = 8,278.14 : x
  2. Step 2: Convert to fraction form
    6,148.09/8,278.14 = 8,278.14/x
  3. Step 3: Cross multiply
    6,148.09x = 8,278.14 × 8,278.14
  4. Step 4: Simplify right side
    6,148.09x = 68,527,547.53
  5. Step 5: Solve for x
    x = 68,527,547.53/6,148.09
  6. Step 6: Final answer
    x = 11,146.15

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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.