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Finding the Third Proportional to 10,990 and 23,438

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Solution

The third proportional to 10,990 and 23,438 is: 49,985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,990 : 23,438 = 23,438 : x
  2. Step 2: Convert to fraction form
    10,990/23,438 = 23,438/x
  3. Step 3: Cross multiply
    10,990x = 23,438 × 23,438
  4. Step 4: Simplify right side
    10,990x = 549,339,844
  5. Step 5: Solve for x
    x = 549,339,844/10,990
  6. Step 6: Final answer
    x = 49,985.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.