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Finding the Third Proportional to 877.79 and 1,885.86

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Solution

The third proportional to 877.79 and 1,885.86 is: 4,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.79 : 1,885.86 = 1,885.86 : x
  2. Step 2: Convert to fraction form
    877.79/1,885.86 = 1,885.86/x
  3. Step 3: Cross multiply
    877.79x = 1,885.86 × 1,885.86
  4. Step 4: Simplify right side
    877.79x = 3,556,469.27
  5. Step 5: Solve for x
    x = 3,556,469.27/877.79
  6. Step 6: Final answer
    x = 4,051.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.