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Finding the Third Proportional to 47,698 and 70,086

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Solution

The third proportional to 47,698 and 70,086 is: 102,982.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,698 : 70,086 = 70,086 : x
  2. Step 2: Convert to fraction form
    47,698/70,086 = 70,086/x
  3. Step 3: Cross multiply
    47,698x = 70,086 × 70,086
  4. Step 4: Simplify right side
    47,698x = 4,912,047,396
  5. Step 5: Solve for x
    x = 4,912,047,396/47,698
  6. Step 6: Final answer
    x = 102,982.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.