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Finding the Third Proportional to 652.69 and 1,373.81

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Solution

The third proportional to 652.69 and 1,373.81 is: 2,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.69 : 1,373.81 = 1,373.81 : x
  2. Step 2: Convert to fraction form
    652.69/1,373.81 = 1,373.81/x
  3. Step 3: Cross multiply
    652.69x = 1,373.81 × 1,373.81
  4. Step 4: Simplify right side
    652.69x = 1,887,360.79
  5. Step 5: Solve for x
    x = 1,887,360.79/652.69
  6. Step 6: Final answer
    x = 2,891.68

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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.