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Finding the Third Proportional to 27,232 and 43,870

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Solution

The third proportional to 27,232 and 43,870 is: 70,673.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,232 : 43,870 = 43,870 : x
  2. Step 2: Convert to fraction form
    27,232/43,870 = 43,870/x
  3. Step 3: Cross multiply
    27,232x = 43,870 × 43,870
  4. Step 4: Simplify right side
    27,232x = 1,924,576,900
  5. Step 5: Solve for x
    x = 1,924,576,900/27,232
  6. Step 6: Final answer
    x = 70,673.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.