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Finding the Third Proportional to 5,141 and 10,687.50

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Solution

The third proportional to 5,141 and 10,687.50 is: 22,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141 : 10,687.50 = 10,687.50 : x
  2. Step 2: Convert to fraction form
    5,141/10,687.50 = 10,687.50/x
  3. Step 3: Cross multiply
    5,141x = 10,687.50 × 10,687.50
  4. Step 4: Simplify right side
    5,141x = 114,222,656.25
  5. Step 5: Solve for x
    x = 114,222,656.25/5,141
  6. Step 6: Final answer
    x = 22,217.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.