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Finding the Third Proportional to 24,740 and 51,910.25

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Solution

The third proportional to 24,740 and 51,910.25 is: 108,919.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740 : 51,910.25 = 51,910.25 : x
  2. Step 2: Convert to fraction form
    24,740/51,910.25 = 51,910.25/x
  3. Step 3: Cross multiply
    24,740x = 51,910.25 × 51,910.25
  4. Step 4: Simplify right side
    24,740x = 2,694,674,055.06
  5. Step 5: Solve for x
    x = 2,694,674,055.06/24,740
  6. Step 6: Final answer
    x = 108,919.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.