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Finding the Third Proportional to 2,102.81 and 2,947.13

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Solution

The third proportional to 2,102.81 and 2,947.13 is: 4,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.81 : 2,947.13 = 2,947.13 : x
  2. Step 2: Convert to fraction form
    2,102.81/2,947.13 = 2,947.13/x
  3. Step 3: Cross multiply
    2,102.81x = 2,947.13 × 2,947.13
  4. Step 4: Simplify right side
    2,102.81x = 8,685,545.77
  5. Step 5: Solve for x
    x = 8,685,545.77/2,102.81
  6. Step 6: Final answer
    x = 4,130.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.