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Finding the Third Proportional to 2,666.25 and 3,985.88

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Solution

The third proportional to 2,666.25 and 3,985.88 is: 5,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.25 : 3,985.88 = 3,985.88 : x
  2. Step 2: Convert to fraction form
    2,666.25/3,985.88 = 3,985.88/x
  3. Step 3: Cross multiply
    2,666.25x = 3,985.88 × 3,985.88
  4. Step 4: Simplify right side
    2,666.25x = 15,887,199.52
  5. Step 5: Solve for x
    x = 15,887,199.52/2,666.25
  6. Step 6: Final answer
    x = 5,958.63

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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.