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Finding the Third Proportional to 39,959.75 and 59,666

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Solution

The third proportional to 39,959.75 and 59,666 is: 89,090.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,959.75 : 59,666 = 59,666 : x
  2. Step 2: Convert to fraction form
    39,959.75/59,666 = 59,666/x
  3. Step 3: Cross multiply
    39,959.75x = 59,666 × 59,666
  4. Step 4: Simplify right side
    39,959.75x = 3,560,031,556
  5. Step 5: Solve for x
    x = 3,560,031,556/39,959.75
  6. Step 6: Final answer
    x = 89,090.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.