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Finding the Third Proportional to 15,424 and 24,832

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Solution

The third proportional to 15,424 and 24,832 is: 39,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,424 : 24,832 = 24,832 : x
  2. Step 2: Convert to fraction form
    15,424/24,832 = 24,832/x
  3. Step 3: Cross multiply
    15,424x = 24,832 × 24,832
  4. Step 4: Simplify right side
    15,424x = 616,628,224
  5. Step 5: Solve for x
    x = 616,628,224/15,424
  6. Step 6: Final answer
    x = 39,978.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.