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Finding the Third Proportional to 7,461 and 17,932.50

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Solution

The third proportional to 7,461 and 17,932.50 is: 43,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461 : 17,932.50 = 17,932.50 : x
  2. Step 2: Convert to fraction form
    7,461/17,932.50 = 17,932.50/x
  3. Step 3: Cross multiply
    7,461x = 17,932.50 × 17,932.50
  4. Step 4: Simplify right side
    7,461x = 321,574,556.25
  5. Step 5: Solve for x
    x = 321,574,556.25/7,461
  6. Step 6: Final answer
    x = 43,100.73

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.