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Finding the Third Proportional to 32,080 and 69,810

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Solution

The third proportional to 32,080 and 69,810 is: 151,915.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080 : 69,810 = 69,810 : x
  2. Step 2: Convert to fraction form
    32,080/69,810 = 69,810/x
  3. Step 3: Cross multiply
    32,080x = 69,810 × 69,810
  4. Step 4: Simplify right side
    32,080x = 4,873,436,100
  5. Step 5: Solve for x
    x = 4,873,436,100/32,080
  6. Step 6: Final answer
    x = 151,915.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.