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Finding the Third Proportional to 51,610.50 and 75,424.22

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Solution

The third proportional to 51,610.50 and 75,424.22 is: 110,225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,610.50 : 75,424.22 = 75,424.22 : x
  2. Step 2: Convert to fraction form
    51,610.50/75,424.22 = 75,424.22/x
  3. Step 3: Cross multiply
    51,610.50x = 75,424.22 × 75,424.22
  4. Step 4: Simplify right side
    51,610.50x = 5,688,812,774.05
  5. Step 5: Solve for x
    x = 5,688,812,774.05/51,610.50
  6. Step 6: Final answer
    x = 110,225.88

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.