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Finding the Third Proportional to 955.69 and 1,225.97

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Solution

The third proportional to 955.69 and 1,225.97 is: 1,572.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.69 : 1,225.97 = 1,225.97 : x
  2. Step 2: Convert to fraction form
    955.69/1,225.97 = 1,225.97/x
  3. Step 3: Cross multiply
    955.69x = 1,225.97 × 1,225.97
  4. Step 4: Simplify right side
    955.69x = 1,502,999.38
  5. Step 5: Solve for x
    x = 1,502,999.38/955.69
  6. Step 6: Final answer
    x = 1,572.69

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.