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Finding the Third Proportional to 45,216.75 and 61,961.50

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Solution

The third proportional to 45,216.75 and 61,961.50 is: 84,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,216.75 : 61,961.50 = 61,961.50 : x
  2. Step 2: Convert to fraction form
    45,216.75/61,961.50 = 61,961.50/x
  3. Step 3: Cross multiply
    45,216.75x = 61,961.50 × 61,961.50
  4. Step 4: Simplify right side
    45,216.75x = 3,839,227,482.25
  5. Step 5: Solve for x
    x = 3,839,227,482.25/45,216.75
  6. Step 6: Final answer
    x = 84,907.20

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.