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Finding the Third Proportional to 22,340 and 29,648

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Solution

The third proportional to 22,340 and 29,648 is: 39,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,340 : 29,648 = 29,648 : x
  2. Step 2: Convert to fraction form
    22,340/29,648 = 29,648/x
  3. Step 3: Cross multiply
    22,340x = 29,648 × 29,648
  4. Step 4: Simplify right side
    22,340x = 879,003,904
  5. Step 5: Solve for x
    x = 879,003,904/22,340
  6. Step 6: Final answer
    x = 39,346.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.