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Finding the Third Proportional to 35,946 and 48,837

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Solution

The third proportional to 35,946 and 48,837 is: 66,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,946 : 48,837 = 48,837 : x
  2. Step 2: Convert to fraction form
    35,946/48,837 = 48,837/x
  3. Step 3: Cross multiply
    35,946x = 48,837 × 48,837
  4. Step 4: Simplify right side
    35,946x = 2,385,052,569
  5. Step 5: Solve for x
    x = 2,385,052,569/35,946
  6. Step 6: Final answer
    x = 66,350.99

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.