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Finding the Third Proportional to 16,824 and 36,063.75

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Solution

The third proportional to 16,824 and 36,063.75 is: 77,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824 : 36,063.75 = 36,063.75 : x
  2. Step 2: Convert to fraction form
    16,824/36,063.75 = 36,063.75/x
  3. Step 3: Cross multiply
    16,824x = 36,063.75 × 36,063.75
  4. Step 4: Simplify right side
    16,824x = 1,300,594,064.06
  5. Step 5: Solve for x
    x = 1,300,594,064.06/16,824
  6. Step 6: Final answer
    x = 77,305.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.