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Finding the Third Proportional to 11,752.50 and 24,472.50

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Solution

The third proportional to 11,752.50 and 24,472.50 is: 50,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.50 : 24,472.50 = 24,472.50 : x
  2. Step 2: Convert to fraction form
    11,752.50/24,472.50 = 24,472.50/x
  3. Step 3: Cross multiply
    11,752.50x = 24,472.50 × 24,472.50
  4. Step 4: Simplify right side
    11,752.50x = 598,903,256.25
  5. Step 5: Solve for x
    x = 598,903,256.25/11,752.50
  6. Step 6: Final answer
    x = 50,959.65

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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.