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Finding the Third Proportional to 4,466.39 and 6,565.78

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Solution

The third proportional to 4,466.39 and 6,565.78 is: 9,651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.39 : 6,565.78 = 6,565.78 : x
  2. Step 2: Convert to fraction form
    4,466.39/6,565.78 = 6,565.78/x
  3. Step 3: Cross multiply
    4,466.39x = 6,565.78 × 6,565.78
  4. Step 4: Simplify right side
    4,466.39x = 43,109,483.42
  5. Step 5: Solve for x
    x = 43,109,483.42/4,466.39
  6. Step 6: Final answer
    x = 9,651.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.