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Finding the Third Proportional to 32,235 and 71,790

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Solution

The third proportional to 32,235 and 71,790 is: 159,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,235 : 71,790 = 71,790 : x
  2. Step 2: Convert to fraction form
    32,235/71,790 = 71,790/x
  3. Step 3: Cross multiply
    32,235x = 71,790 × 71,790
  4. Step 4: Simplify right side
    32,235x = 5,153,804,100
  5. Step 5: Solve for x
    x = 5,153,804,100/32,235
  6. Step 6: Final answer
    x = 159,882.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.