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Finding the Third Proportional to 2,053.13 and 3,394.69

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Solution

The third proportional to 2,053.13 and 3,394.69 is: 5,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.13 : 3,394.69 = 3,394.69 : x
  2. Step 2: Convert to fraction form
    2,053.13/3,394.69 = 3,394.69/x
  3. Step 3: Cross multiply
    2,053.13x = 3,394.69 × 3,394.69
  4. Step 4: Simplify right side
    2,053.13x = 11,523,903.22
  5. Step 5: Solve for x
    x = 11,523,903.22/2,053.13
  6. Step 6: Final answer
    x = 5,612.86

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.