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Finding the Third Proportional to 32,972 and 71,224

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Solution

The third proportional to 32,972 and 71,224 is: 153,853.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,972 : 71,224 = 71,224 : x
  2. Step 2: Convert to fraction form
    32,972/71,224 = 71,224/x
  3. Step 3: Cross multiply
    32,972x = 71,224 × 71,224
  4. Step 4: Simplify right side
    32,972x = 5,072,858,176
  5. Step 5: Solve for x
    x = 5,072,858,176/32,972
  6. Step 6: Final answer
    x = 153,853.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.