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Finding the Third Proportional to 877.88 and 1,894.13

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Solution

The third proportional to 877.88 and 1,894.13 is: 4,086.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.88 : 1,894.13 = 1,894.13 : x
  2. Step 2: Convert to fraction form
    877.88/1,894.13 = 1,894.13/x
  3. Step 3: Cross multiply
    877.88x = 1,894.13 × 1,894.13
  4. Step 4: Simplify right side
    877.88x = 3,587,709.52
  5. Step 5: Solve for x
    x = 3,587,709.52/877.88
  6. Step 6: Final answer
    x = 4,086.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.