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Finding the Third Proportional to 22,432 and 35,194

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Solution

The third proportional to 22,432 and 35,194 is: 55,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432 : 35,194 = 35,194 : x
  2. Step 2: Convert to fraction form
    22,432/35,194 = 35,194/x
  3. Step 3: Cross multiply
    22,432x = 35,194 × 35,194
  4. Step 4: Simplify right side
    22,432x = 1,238,617,636
  5. Step 5: Solve for x
    x = 1,238,617,636/22,432
  6. Step 6: Final answer
    x = 55,216.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.