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Finding the Third Proportional to 22,966 and 32,246

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Solution

The third proportional to 22,966 and 32,246 is: 45,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966 : 32,246 = 32,246 : x
  2. Step 2: Convert to fraction form
    22,966/32,246 = 32,246/x
  3. Step 3: Cross multiply
    22,966x = 32,246 × 32,246
  4. Step 4: Simplify right side
    22,966x = 1,039,804,516
  5. Step 5: Solve for x
    x = 1,039,804,516/22,966
  6. Step 6: Final answer
    x = 45,275.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.