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Finding the Third Proportional to 10,498 and 15,848

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Solution

The third proportional to 10,498 and 15,848 is: 23,924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498 : 15,848 = 15,848 : x
  2. Step 2: Convert to fraction form
    10,498/15,848 = 15,848/x
  3. Step 3: Cross multiply
    10,498x = 15,848 × 15,848
  4. Step 4: Simplify right side
    10,498x = 251,159,104
  5. Step 5: Solve for x
    x = 251,159,104/10,498
  6. Step 6: Final answer
    x = 23,924.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.