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Finding the Third Proportional to 1,001.53 and 1,224.28

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Solution

The third proportional to 1,001.53 and 1,224.28 is: 1,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.53 : 1,224.28 = 1,224.28 : x
  2. Step 2: Convert to fraction form
    1,001.53/1,224.28 = 1,224.28/x
  3. Step 3: Cross multiply
    1,001.53x = 1,224.28 × 1,224.28
  4. Step 4: Simplify right side
    1,001.53x = 1,498,864.58
  5. Step 5: Solve for x
    x = 1,498,864.58/1,001.53
  6. Step 6: Final answer
    x = 1,496.57

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.