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Finding the Third Proportional to 2,337.33 and 5,114.53

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Solution

The third proportional to 2,337.33 and 5,114.53 is: 11,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.33 : 5,114.53 = 5,114.53 : x
  2. Step 2: Convert to fraction form
    2,337.33/5,114.53 = 5,114.53/x
  3. Step 3: Cross multiply
    2,337.33x = 5,114.53 × 5,114.53
  4. Step 4: Simplify right side
    2,337.33x = 26,158,429.91
  5. Step 5: Solve for x
    x = 26,158,429.91/2,337.33
  6. Step 6: Final answer
    x = 11,191.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.