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Finding the Third Proportional to 824.06 and 1,295.06

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Solution

The third proportional to 824.06 and 1,295.06 is: 2,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.06 : 1,295.06 = 1,295.06 : x
  2. Step 2: Convert to fraction form
    824.06/1,295.06 = 1,295.06/x
  3. Step 3: Cross multiply
    824.06x = 1,295.06 × 1,295.06
  4. Step 4: Simplify right side
    824.06x = 1,677,186.88
  5. Step 5: Solve for x
    x = 1,677,186.88/824.06
  6. Step 6: Final answer
    x = 2,035.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.