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Finding the Third Proportional to 10,570 and 22,974

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Solution

The third proportional to 10,570 and 22,974 is: 49,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570 : 22,974 = 22,974 : x
  2. Step 2: Convert to fraction form
    10,570/22,974 = 22,974/x
  3. Step 3: Cross multiply
    10,570x = 22,974 × 22,974
  4. Step 4: Simplify right side
    10,570x = 527,804,676
  5. Step 5: Solve for x
    x = 527,804,676/10,570
  6. Step 6: Final answer
    x = 49,934.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.