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Finding the Third Proportional to 4,657.11 and 7,045.86

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Solution

The third proportional to 4,657.11 and 7,045.86 is: 10,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.11 : 7,045.86 = 7,045.86 : x
  2. Step 2: Convert to fraction form
    4,657.11/7,045.86 = 7,045.86/x
  3. Step 3: Cross multiply
    4,657.11x = 7,045.86 × 7,045.86
  4. Step 4: Simplify right side
    4,657.11x = 49,644,134.33
  5. Step 5: Solve for x
    x = 49,644,134.33/4,657.11
  6. Step 6: Final answer
    x = 10,659.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.