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Finding the Third Proportional to 32,519 and 70,932.50

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Solution

The third proportional to 32,519 and 70,932.50 is: 154,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,519 : 70,932.50 = 70,932.50 : x
  2. Step 2: Convert to fraction form
    32,519/70,932.50 = 70,932.50/x
  3. Step 3: Cross multiply
    32,519x = 70,932.50 × 70,932.50
  4. Step 4: Simplify right side
    32,519x = 5,031,419,556.25
  5. Step 5: Solve for x
    x = 5,031,419,556.25/32,519
  6. Step 6: Final answer
    x = 154,722.46

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