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Finding the Third Proportional to 45,837 and 61,843.50

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Solution

The third proportional to 45,837 and 61,843.50 is: 83,439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,837 : 61,843.50 = 61,843.50 : x
  2. Step 2: Convert to fraction form
    45,837/61,843.50 = 61,843.50/x
  3. Step 3: Cross multiply
    45,837x = 61,843.50 × 61,843.50
  4. Step 4: Simplify right side
    45,837x = 3,824,618,492.25
  5. Step 5: Solve for x
    x = 3,824,618,492.25/45,837
  6. Step 6: Final answer
    x = 83,439.55

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.