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Finding the Third Proportional to 1,225.13 and 1,972.69

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Solution

The third proportional to 1,225.13 and 1,972.69 is: 3,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.13 : 1,972.69 = 1,972.69 : x
  2. Step 2: Convert to fraction form
    1,225.13/1,972.69 = 1,972.69/x
  3. Step 3: Cross multiply
    1,225.13x = 1,972.69 × 1,972.69
  4. Step 4: Simplify right side
    1,225.13x = 3,891,495.97
  5. Step 5: Solve for x
    x = 3,891,495.97/1,225.13
  6. Step 6: Final answer
    x = 3,176.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.