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Finding the Third Proportional to 1,877.55 and 4,063.61

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Solution

The third proportional to 1,877.55 and 4,063.61 is: 8,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.55 : 4,063.61 = 4,063.61 : x
  2. Step 2: Convert to fraction form
    1,877.55/4,063.61 = 4,063.61/x
  3. Step 3: Cross multiply
    1,877.55x = 4,063.61 × 4,063.61
  4. Step 4: Simplify right side
    1,877.55x = 16,512,889.41
  5. Step 5: Solve for x
    x = 16,512,889.41/1,877.55
  6. Step 6: Final answer
    x = 8,794.89

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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.