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Finding the Third Proportional to 51,807.50 and 61,269.50

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Solution

The third proportional to 51,807.50 and 61,269.50 is: 72,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,807.50 : 61,269.50 = 61,269.50 : x
  2. Step 2: Convert to fraction form
    51,807.50/61,269.50 = 61,269.50/x
  3. Step 3: Cross multiply
    51,807.50x = 61,269.50 × 61,269.50
  4. Step 4: Simplify right side
    51,807.50x = 3,753,951,630.25
  5. Step 5: Solve for x
    x = 3,753,951,630.25/51,807.50
  6. Step 6: Final answer
    x = 72,459.62

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.