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Finding the Third Proportional to 872.50 and 1,146.75

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Solution

The third proportional to 872.50 and 1,146.75 is: 1,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.50 : 1,146.75 = 1,146.75 : x
  2. Step 2: Convert to fraction form
    872.50/1,146.75 = 1,146.75/x
  3. Step 3: Cross multiply
    872.50x = 1,146.75 × 1,146.75
  4. Step 4: Simplify right side
    872.50x = 1,315,035.56
  5. Step 5: Solve for x
    x = 1,315,035.56/872.50
  6. Step 6: Final answer
    x = 1,507.20

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.