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Finding the Third Proportional to 12,441 and 25,612.50

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Solution

The third proportional to 12,441 and 25,612.50 is: 52,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441 : 25,612.50 = 25,612.50 : x
  2. Step 2: Convert to fraction form
    12,441/25,612.50 = 25,612.50/x
  3. Step 3: Cross multiply
    12,441x = 25,612.50 × 25,612.50
  4. Step 4: Simplify right side
    12,441x = 656,000,156.25
  5. Step 5: Solve for x
    x = 656,000,156.25/12,441
  6. Step 6: Final answer
    x = 52,728.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.