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Finding the Third Proportional to 886.15 and 1,925.86

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Solution

The third proportional to 886.15 and 1,925.86 is: 4,185.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.15 : 1,925.86 = 1,925.86 : x
  2. Step 2: Convert to fraction form
    886.15/1,925.86 = 1,925.86/x
  3. Step 3: Cross multiply
    886.15x = 1,925.86 × 1,925.86
  4. Step 4: Simplify right side
    886.15x = 3,708,934.33
  5. Step 5: Solve for x
    x = 3,708,934.33/886.15
  6. Step 6: Final answer
    x = 4,185.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.