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Finding the Third Proportional to 3,869.63 and 6,160.13

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Solution

The third proportional to 3,869.63 and 6,160.13 is: 9,806.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.63 : 6,160.13 = 6,160.13 : x
  2. Step 2: Convert to fraction form
    3,869.63/6,160.13 = 6,160.13/x
  3. Step 3: Cross multiply
    3,869.63x = 6,160.13 × 6,160.13
  4. Step 4: Simplify right side
    3,869.63x = 37,947,140.02
  5. Step 5: Solve for x
    x = 37,947,140.02/3,869.63
  6. Step 6: Final answer
    x = 9,806.41

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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.