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Finding the Third Proportional to 34,959 and 73,333.50

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Solution

The third proportional to 34,959 and 73,333.50 is: 153,831.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,959 : 73,333.50 = 73,333.50 : x
  2. Step 2: Convert to fraction form
    34,959/73,333.50 = 73,333.50/x
  3. Step 3: Cross multiply
    34,959x = 73,333.50 × 73,333.50
  4. Step 4: Simplify right side
    34,959x = 5,377,802,222.25
  5. Step 5: Solve for x
    x = 5,377,802,222.25/34,959
  6. Step 6: Final answer
    x = 153,831.69

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.