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Finding the Third Proportional to 824.81 and 1,657.13

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Solution

The third proportional to 824.81 and 1,657.13 is: 3,329.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.81 : 1,657.13 = 1,657.13 : x
  2. Step 2: Convert to fraction form
    824.81/1,657.13 = 1,657.13/x
  3. Step 3: Cross multiply
    824.81x = 1,657.13 × 1,657.13
  4. Step 4: Simplify right side
    824.81x = 2,746,063.27
  5. Step 5: Solve for x
    x = 2,746,063.27/824.81
  6. Step 6: Final answer
    x = 3,329.32

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.