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Finding the Third Proportional to 4,123.50 and 4,575.75

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Solution

The third proportional to 4,123.50 and 4,575.75 is: 5,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.50 : 4,575.75 = 4,575.75 : x
  2. Step 2: Convert to fraction form
    4,123.50/4,575.75 = 4,575.75/x
  3. Step 3: Cross multiply
    4,123.50x = 4,575.75 × 4,575.75
  4. Step 4: Simplify right side
    4,123.50x = 20,937,488.06
  5. Step 5: Solve for x
    x = 20,937,488.06/4,123.50
  6. Step 6: Final answer
    x = 5,077.60

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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.