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Finding the Third Proportional to 4,123.13 and 4,575.38

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Solution

The third proportional to 4,123.13 and 4,575.38 is: 5,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.13 : 4,575.38 = 4,575.38 : x
  2. Step 2: Convert to fraction form
    4,123.13/4,575.38 = 4,575.38/x
  3. Step 3: Cross multiply
    4,123.13x = 4,575.38 × 4,575.38
  4. Step 4: Simplify right side
    4,123.13x = 20,934,056.39
  5. Step 5: Solve for x
    x = 20,934,056.39/4,123.13
  6. Step 6: Final answer
    x = 5,077.23

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.