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Finding the Third Proportional to 22,986 and 47,410

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Solution

The third proportional to 22,986 and 47,410 is: 97,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,986 : 47,410 = 47,410 : x
  2. Step 2: Convert to fraction form
    22,986/47,410 = 47,410/x
  3. Step 3: Cross multiply
    22,986x = 47,410 × 47,410
  4. Step 4: Simplify right side
    22,986x = 2,247,708,100
  5. Step 5: Solve for x
    x = 2,247,708,100/22,986
  6. Step 6: Final answer
    x = 97,785.96

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.