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Finding the Third Proportional to 15,392 and 24,788

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Solution

The third proportional to 15,392 and 24,788 is: 39,919.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,392 : 24,788 = 24,788 : x
  2. Step 2: Convert to fraction form
    15,392/24,788 = 24,788/x
  3. Step 3: Cross multiply
    15,392x = 24,788 × 24,788
  4. Step 4: Simplify right side
    15,392x = 614,444,944
  5. Step 5: Solve for x
    x = 614,444,944/15,392
  6. Step 6: Final answer
    x = 39,919.76

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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.