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Finding the Third Proportional to 24,210 and 48,996

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Solution

The third proportional to 24,210 and 48,996 is: 99,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,210 : 48,996 = 48,996 : x
  2. Step 2: Convert to fraction form
    24,210/48,996 = 48,996/x
  3. Step 3: Cross multiply
    24,210x = 48,996 × 48,996
  4. Step 4: Simplify right side
    24,210x = 2,400,608,016
  5. Step 5: Solve for x
    x = 2,400,608,016/24,210
  6. Step 6: Final answer
    x = 99,157.70

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.