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Finding the Third Proportional to 24,869 and 37,222

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Solution

The third proportional to 24,869 and 37,222 is: 55,711.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,869 : 37,222 = 37,222 : x
  2. Step 2: Convert to fraction form
    24,869/37,222 = 37,222/x
  3. Step 3: Cross multiply
    24,869x = 37,222 × 37,222
  4. Step 4: Simplify right side
    24,869x = 1,385,477,284
  5. Step 5: Solve for x
    x = 1,385,477,284/24,869
  6. Step 6: Final answer
    x = 55,711.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.