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Finding the Third Proportional to 33,915 and 70,854

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Solution

The third proportional to 33,915 and 70,854 is: 148,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,915 : 70,854 = 70,854 : x
  2. Step 2: Convert to fraction form
    33,915/70,854 = 70,854/x
  3. Step 3: Cross multiply
    33,915x = 70,854 × 70,854
  4. Step 4: Simplify right side
    33,915x = 5,020,289,316
  5. Step 5: Solve for x
    x = 5,020,289,316/33,915
  6. Step 6: Final answer
    x = 148,025.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.