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Finding the Third Proportional to 48,022.50 and 64,243.50

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Solution

The third proportional to 48,022.50 and 64,243.50 is: 85,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,022.50 : 64,243.50 = 64,243.50 : x
  2. Step 2: Convert to fraction form
    48,022.50/64,243.50 = 64,243.50/x
  3. Step 3: Cross multiply
    48,022.50x = 64,243.50 × 64,243.50
  4. Step 4: Simplify right side
    48,022.50x = 4,127,227,292.25
  5. Step 5: Solve for x
    x = 4,127,227,292.25/48,022.50
  6. Step 6: Final answer
    x = 85,943.62

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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.