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Finding the Third Proportional to 10,588 and 22,634

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Solution

The third proportional to 10,588 and 22,634 is: 48,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588 : 22,634 = 22,634 : x
  2. Step 2: Convert to fraction form
    10,588/22,634 = 22,634/x
  3. Step 3: Cross multiply
    10,588x = 22,634 × 22,634
  4. Step 4: Simplify right side
    10,588x = 512,297,956
  5. Step 5: Solve for x
    x = 512,297,956/10,588
  6. Step 6: Final answer
    x = 48,384.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.