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Finding the Third Proportional to 2,877.19 and 6,148.69

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Solution

The third proportional to 2,877.19 and 6,148.69 is: 13,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.19 : 6,148.69 = 6,148.69 : x
  2. Step 2: Convert to fraction form
    2,877.19/6,148.69 = 6,148.69/x
  3. Step 3: Cross multiply
    2,877.19x = 6,148.69 × 6,148.69
  4. Step 4: Simplify right side
    2,877.19x = 37,806,357.97
  5. Step 5: Solve for x
    x = 37,806,357.97/2,877.19
  6. Step 6: Final answer
    x = 13,140.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.