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Finding the Third Proportional to 47,657 and 70,675

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Solution

The third proportional to 47,657 and 70,675 is: 104,810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,657 : 70,675 = 70,675 : x
  2. Step 2: Convert to fraction form
    47,657/70,675 = 70,675/x
  3. Step 3: Cross multiply
    47,657x = 70,675 × 70,675
  4. Step 4: Simplify right side
    47,657x = 4,994,955,625
  5. Step 5: Solve for x
    x = 4,994,955,625/47,657
  6. Step 6: Final answer
    x = 104,810.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.