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Finding the Third Proportional to 15,498 and 23,899

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Solution

The third proportional to 15,498 and 23,899 is: 36,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,498 : 23,899 = 23,899 : x
  2. Step 2: Convert to fraction form
    15,498/23,899 = 23,899/x
  3. Step 3: Cross multiply
    15,498x = 23,899 × 23,899
  4. Step 4: Simplify right side
    15,498x = 571,162,201
  5. Step 5: Solve for x
    x = 571,162,201/15,498
  6. Step 6: Final answer
    x = 36,853.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.