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Finding the Third Proportional to 15,840 and 24,848

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Solution

The third proportional to 15,840 and 24,848 is: 38,978.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840 : 24,848 = 24,848 : x
  2. Step 2: Convert to fraction form
    15,840/24,848 = 24,848/x
  3. Step 3: Cross multiply
    15,840x = 24,848 × 24,848
  4. Step 4: Simplify right side
    15,840x = 617,423,104
  5. Step 5: Solve for x
    x = 617,423,104/15,840
  6. Step 6: Final answer
    x = 38,978.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.