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Finding the Third Proportional to 2,937.25 and 4,549.88

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Solution

The third proportional to 2,937.25 and 4,549.88 is: 7,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.25 : 4,549.88 = 4,549.88 : x
  2. Step 2: Convert to fraction form
    2,937.25/4,549.88 = 4,549.88/x
  3. Step 3: Cross multiply
    2,937.25x = 4,549.88 × 4,549.88
  4. Step 4: Simplify right side
    2,937.25x = 20,701,362.52
  5. Step 5: Solve for x
    x = 20,701,362.52/2,937.25
  6. Step 6: Final answer
    x = 7,047.87

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Why These Related Problems?

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