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Finding the Third Proportional to 24,130.50 and 33,981

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Solution

The third proportional to 24,130.50 and 33,981 is: 47,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,130.50 : 33,981 = 33,981 : x
  2. Step 2: Convert to fraction form
    24,130.50/33,981 = 33,981/x
  3. Step 3: Cross multiply
    24,130.50x = 33,981 × 33,981
  4. Step 4: Simplify right side
    24,130.50x = 1,154,708,361
  5. Step 5: Solve for x
    x = 1,154,708,361/24,130.50
  6. Step 6: Final answer
    x = 47,852.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.