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Finding the Third Proportional to 637.59 and 1,469.53

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Solution

The third proportional to 637.59 and 1,469.53 is: 3,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.59 : 1,469.53 = 1,469.53 : x
  2. Step 2: Convert to fraction form
    637.59/1,469.53 = 1,469.53/x
  3. Step 3: Cross multiply
    637.59x = 1,469.53 × 1,469.53
  4. Step 4: Simplify right side
    637.59x = 2,159,522.09
  5. Step 5: Solve for x
    x = 2,159,522.09/637.59
  6. Step 6: Final answer
    x = 3,386.99

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.