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Finding the Third Proportional to 3,059.13 and 4,862.19

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Solution

The third proportional to 3,059.13 and 4,862.19 is: 7,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.13 : 4,862.19 = 4,862.19 : x
  2. Step 2: Convert to fraction form
    3,059.13/4,862.19 = 4,862.19/x
  3. Step 3: Cross multiply
    3,059.13x = 4,862.19 × 4,862.19
  4. Step 4: Simplify right side
    3,059.13x = 23,640,867.29
  5. Step 5: Solve for x
    x = 23,640,867.29/3,059.13
  6. Step 6: Final answer
    x = 7,727.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.