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Finding the Third Proportional to 4,666.78 and 8,237.53

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Solution

The third proportional to 4,666.78 and 8,237.53 is: 14,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.78 : 8,237.53 = 8,237.53 : x
  2. Step 2: Convert to fraction form
    4,666.78/8,237.53 = 8,237.53/x
  3. Step 3: Cross multiply
    4,666.78x = 8,237.53 × 8,237.53
  4. Step 4: Simplify right side
    4,666.78x = 67,856,921.09
  5. Step 5: Solve for x
    x = 67,856,921.09/4,666.78
  6. Step 6: Final answer
    x = 14,540.41

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.