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Finding the Third Proportional to 23,459 and 47,869

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Solution

The third proportional to 23,459 and 47,869 is: 97,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,459 : 47,869 = 47,869 : x
  2. Step 2: Convert to fraction form
    23,459/47,869 = 47,869/x
  3. Step 3: Cross multiply
    23,459x = 47,869 × 47,869
  4. Step 4: Simplify right side
    23,459x = 2,291,441,161
  5. Step 5: Solve for x
    x = 2,291,441,161/23,459
  6. Step 6: Final answer
    x = 97,678.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.