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Finding the Third Proportional to 3,141 and 4,901.25

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Solution

The third proportional to 3,141 and 4,901.25 is: 7,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141 : 4,901.25 = 4,901.25 : x
  2. Step 2: Convert to fraction form
    3,141/4,901.25 = 4,901.25/x
  3. Step 3: Cross multiply
    3,141x = 4,901.25 × 4,901.25
  4. Step 4: Simplify right side
    3,141x = 24,022,251.56
  5. Step 5: Solve for x
    x = 24,022,251.56/3,141
  6. Step 6: Final answer
    x = 7,647.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.