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Finding the Third Proportional to 22,600 and 34,924

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Solution

The third proportional to 22,600 and 34,924 is: 53,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,600 : 34,924 = 34,924 : x
  2. Step 2: Convert to fraction form
    22,600/34,924 = 34,924/x
  3. Step 3: Cross multiply
    22,600x = 34,924 × 34,924
  4. Step 4: Simplify right side
    22,600x = 1,219,685,776
  5. Step 5: Solve for x
    x = 1,219,685,776/22,600
  6. Step 6: Final answer
    x = 53,968.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.