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Finding the Third Proportional to 32,460 and 70,873

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Solution

The third proportional to 32,460 and 70,873 is: 154,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,460 : 70,873 = 70,873 : x
  2. Step 2: Convert to fraction form
    32,460/70,873 = 70,873/x
  3. Step 3: Cross multiply
    32,460x = 70,873 × 70,873
  4. Step 4: Simplify right side
    32,460x = 5,022,982,129
  5. Step 5: Solve for x
    x = 5,022,982,129/32,460
  6. Step 6: Final answer
    x = 154,743.75

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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.