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Finding the Third Proportional to 48,970.50 and 73,270.50

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Solution

The third proportional to 48,970.50 and 73,270.50 is: 109,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,970.50 : 73,270.50 = 73,270.50 : x
  2. Step 2: Convert to fraction form
    48,970.50/73,270.50 = 73,270.50/x
  3. Step 3: Cross multiply
    48,970.50x = 73,270.50 × 73,270.50
  4. Step 4: Simplify right side
    48,970.50x = 5,368,566,170.25
  5. Step 5: Solve for x
    x = 5,368,566,170.25/48,970.50
  6. Step 6: Final answer
    x = 109,628.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.