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Finding the Third Proportional to 2,717.72 and 4,176.14

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Solution

The third proportional to 2,717.72 and 4,176.14 is: 6,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.72 : 4,176.14 = 4,176.14 : x
  2. Step 2: Convert to fraction form
    2,717.72/4,176.14 = 4,176.14/x
  3. Step 3: Cross multiply
    2,717.72x = 4,176.14 × 4,176.14
  4. Step 4: Simplify right side
    2,717.72x = 17,440,150.52
  5. Step 5: Solve for x
    x = 17,440,150.52/2,717.72
  6. Step 6: Final answer
    x = 6,417.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.