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Finding the Third Proportional to 4,710.66 and 6,397.42

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Solution

The third proportional to 4,710.66 and 6,397.42 is: 8,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.66 : 6,397.42 = 6,397.42 : x
  2. Step 2: Convert to fraction form
    4,710.66/6,397.42 = 6,397.42/x
  3. Step 3: Cross multiply
    4,710.66x = 6,397.42 × 6,397.42
  4. Step 4: Simplify right side
    4,710.66x = 40,926,956.67
  5. Step 5: Solve for x
    x = 40,926,956.67/4,710.66
  6. Step 6: Final answer
    x = 8,688.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.