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Finding the Third Proportional to 2,658.13 and 4,376.53

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Solution

The third proportional to 2,658.13 and 4,376.53 is: 7,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.13 : 4,376.53 = 4,376.53 : x
  2. Step 2: Convert to fraction form
    2,658.13/4,376.53 = 4,376.53/x
  3. Step 3: Cross multiply
    2,658.13x = 4,376.53 × 4,376.53
  4. Step 4: Simplify right side
    2,658.13x = 19,154,025.78
  5. Step 5: Solve for x
    x = 19,154,025.78/2,658.13
  6. Step 6: Final answer
    x = 7,205.83

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.