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Finding the Third Proportional to 1,074.50 and 2,527

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Solution

The third proportional to 1,074.50 and 2,527 is: 5,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.50 : 2,527 = 2,527 : x
  2. Step 2: Convert to fraction form
    1,074.50/2,527 = 2,527/x
  3. Step 3: Cross multiply
    1,074.50x = 2,527 × 2,527
  4. Step 4: Simplify right side
    1,074.50x = 6,385,729
  5. Step 5: Solve for x
    x = 6,385,729/1,074.50
  6. Step 6: Final answer
    x = 5,942.98

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.