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Finding the Third Proportional to 883.88 and 1,369.88

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Solution

The third proportional to 883.88 and 1,369.88 is: 2,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.88 : 1,369.88 = 1,369.88 : x
  2. Step 2: Convert to fraction form
    883.88/1,369.88 = 1,369.88/x
  3. Step 3: Cross multiply
    883.88x = 1,369.88 × 1,369.88
  4. Step 4: Simplify right side
    883.88x = 1,876,557.52
  5. Step 5: Solve for x
    x = 1,876,557.52/883.88
  6. Step 6: Final answer
    x = 2,123.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.