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Finding the Third Proportional to 47,158 and 62,960

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Solution

The third proportional to 47,158 and 62,960 is: 84,057.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,158 : 62,960 = 62,960 : x
  2. Step 2: Convert to fraction form
    47,158/62,960 = 62,960/x
  3. Step 3: Cross multiply
    47,158x = 62,960 × 62,960
  4. Step 4: Simplify right side
    47,158x = 3,963,961,600
  5. Step 5: Solve for x
    x = 3,963,961,600/47,158
  6. Step 6: Final answer
    x = 84,057.03

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.