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Finding the Third Proportional to 32,998 and 73,358

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Solution

The third proportional to 32,998 and 73,358 is: 163,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,998 : 73,358 = 73,358 : x
  2. Step 2: Convert to fraction form
    32,998/73,358 = 73,358/x
  3. Step 3: Cross multiply
    32,998x = 73,358 × 73,358
  4. Step 4: Simplify right side
    32,998x = 5,381,396,164
  5. Step 5: Solve for x
    x = 5,381,396,164/32,998
  6. Step 6: Final answer
    x = 163,082.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.