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Finding the Third Proportional to 22,624 and 33,277

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Solution

The third proportional to 22,624 and 33,277 is: 48,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,624 : 33,277 = 33,277 : x
  2. Step 2: Convert to fraction form
    22,624/33,277 = 33,277/x
  3. Step 3: Cross multiply
    22,624x = 33,277 × 33,277
  4. Step 4: Simplify right side
    22,624x = 1,107,358,729
  5. Step 5: Solve for x
    x = 1,107,358,729/22,624
  6. Step 6: Final answer
    x = 48,946.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.