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Finding the Third Proportional to 652.54 and 1,369.14

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Solution

The third proportional to 652.54 and 1,369.14 is: 2,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.54 : 1,369.14 = 1,369.14 : x
  2. Step 2: Convert to fraction form
    652.54/1,369.14 = 1,369.14/x
  3. Step 3: Cross multiply
    652.54x = 1,369.14 × 1,369.14
  4. Step 4: Simplify right side
    652.54x = 1,874,551.40
  5. Step 5: Solve for x
    x = 1,874,551.40/652.54
  6. Step 6: Final answer
    x = 2,872.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.