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Finding the Third Proportional to 872.96 and 1,348.37

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Solution

The third proportional to 872.96 and 1,348.37 is: 2,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.96 : 1,348.37 = 1,348.37 : x
  2. Step 2: Convert to fraction form
    872.96/1,348.37 = 1,348.37/x
  3. Step 3: Cross multiply
    872.96x = 1,348.37 × 1,348.37
  4. Step 4: Simplify right side
    872.96x = 1,818,088.81
  5. Step 5: Solve for x
    x = 1,818,088.81/872.96
  6. Step 6: Final answer
    x = 2,082.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.