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Finding the Third Proportional to 872.02 and 1,348.52

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Solution

The third proportional to 872.02 and 1,348.52 is: 2,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.02 : 1,348.52 = 1,348.52 : x
  2. Step 2: Convert to fraction form
    872.02/1,348.52 = 1,348.52/x
  3. Step 3: Cross multiply
    872.02x = 1,348.52 × 1,348.52
  4. Step 4: Simplify right side
    872.02x = 1,818,515.46
  5. Step 5: Solve for x
    x = 1,818,515.46/872.02
  6. Step 6: Final answer
    x = 2,085.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.