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Finding the Third Proportional to 955.86 and 1,353.11

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Solution

The third proportional to 955.86 and 1,353.11 is: 1,915.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.86 : 1,353.11 = 1,353.11 : x
  2. Step 2: Convert to fraction form
    955.86/1,353.11 = 1,353.11/x
  3. Step 3: Cross multiply
    955.86x = 1,353.11 × 1,353.11
  4. Step 4: Simplify right side
    955.86x = 1,830,910.27
  5. Step 5: Solve for x
    x = 1,830,910.27/955.86
  6. Step 6: Final answer
    x = 1,915.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.