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Finding the Third Proportional to 14,498 and 22,990

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Solution

The third proportional to 14,498 and 22,990 is: 36,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,498 : 22,990 = 22,990 : x
  2. Step 2: Convert to fraction form
    14,498/22,990 = 22,990/x
  3. Step 3: Cross multiply
    14,498x = 22,990 × 22,990
  4. Step 4: Simplify right side
    14,498x = 528,540,100
  5. Step 5: Solve for x
    x = 528,540,100/14,498
  6. Step 6: Final answer
    x = 36,456.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.