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Finding the Third Proportional to 33,413 and 71,158

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Solution

The third proportional to 33,413 and 71,158 is: 151,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,413 : 71,158 = 71,158 : x
  2. Step 2: Convert to fraction form
    33,413/71,158 = 71,158/x
  3. Step 3: Cross multiply
    33,413x = 71,158 × 71,158
  4. Step 4: Simplify right side
    33,413x = 5,063,460,964
  5. Step 5: Solve for x
    x = 5,063,460,964/33,413
  6. Step 6: Final answer
    x = 151,541.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.