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Finding the Third Proportional to 1,593.92 and 3,470.11

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Solution

The third proportional to 1,593.92 and 3,470.11 is: 7,554.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.92 : 3,470.11 = 3,470.11 : x
  2. Step 2: Convert to fraction form
    1,593.92/3,470.11 = 3,470.11/x
  3. Step 3: Cross multiply
    1,593.92x = 3,470.11 × 3,470.11
  4. Step 4: Simplify right side
    1,593.92x = 12,041,638.74
  5. Step 5: Solve for x
    x = 12,041,638.74/1,593.92
  6. Step 6: Final answer
    x = 7,554.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.