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Finding the Third Proportional to 22,432 and 48,085

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Solution

The third proportional to 22,432 and 48,085 is: 103,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432 : 48,085 = 48,085 : x
  2. Step 2: Convert to fraction form
    22,432/48,085 = 48,085/x
  3. Step 3: Cross multiply
    22,432x = 48,085 × 48,085
  4. Step 4: Simplify right side
    22,432x = 2,312,167,225
  5. Step 5: Solve for x
    x = 2,312,167,225/22,432
  6. Step 6: Final answer
    x = 103,074.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.