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Finding the Third Proportional to 3,340.13 and 6,869.25

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Solution

The third proportional to 3,340.13 and 6,869.25 is: 14,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.13 : 6,869.25 = 6,869.25 : x
  2. Step 2: Convert to fraction form
    3,340.13/6,869.25 = 6,869.25/x
  3. Step 3: Cross multiply
    3,340.13x = 6,869.25 × 6,869.25
  4. Step 4: Simplify right side
    3,340.13x = 47,186,595.56
  5. Step 5: Solve for x
    x = 47,186,595.56/3,340.13
  6. Step 6: Final answer
    x = 14,127.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.