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Finding the Third Proportional to 832.75 and 1,295.13

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Solution

The third proportional to 832.75 and 1,295.13 is: 2,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.75 : 1,295.13 = 1,295.13 : x
  2. Step 2: Convert to fraction form
    832.75/1,295.13 = 1,295.13/x
  3. Step 3: Cross multiply
    832.75x = 1,295.13 × 1,295.13
  4. Step 4: Simplify right side
    832.75x = 1,677,348.77
  5. Step 5: Solve for x
    x = 1,677,348.77/832.75
  6. Step 6: Final answer
    x = 2,014.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.