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Finding the Third Proportional to 34,460.50 and 75,074

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Solution

The third proportional to 34,460.50 and 75,074 is: 163,552.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,460.50 : 75,074 = 75,074 : x
  2. Step 2: Convert to fraction form
    34,460.50/75,074 = 75,074/x
  3. Step 3: Cross multiply
    34,460.50x = 75,074 × 75,074
  4. Step 4: Simplify right side
    34,460.50x = 5,636,105,476
  5. Step 5: Solve for x
    x = 5,636,105,476/34,460.50
  6. Step 6: Final answer
    x = 163,552.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.