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Finding the Third Proportional to 16,801 and 24,714.75

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Solution

The third proportional to 16,801 and 24,714.75 is: 36,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,801 : 24,714.75 = 24,714.75 : x
  2. Step 2: Convert to fraction form
    16,801/24,714.75 = 24,714.75/x
  3. Step 3: Cross multiply
    16,801x = 24,714.75 × 24,714.75
  4. Step 4: Simplify right side
    16,801x = 610,818,867.56
  5. Step 5: Solve for x
    x = 610,818,867.56/16,801
  6. Step 6: Final answer
    x = 36,356.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.