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Finding the Third Proportional to 1,526.91 and 3,327.05

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Solution

The third proportional to 1,526.91 and 3,327.05 is: 7,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.91 : 3,327.05 = 3,327.05 : x
  2. Step 2: Convert to fraction form
    1,526.91/3,327.05 = 3,327.05/x
  3. Step 3: Cross multiply
    1,526.91x = 3,327.05 × 3,327.05
  4. Step 4: Simplify right side
    1,526.91x = 11,069,240.91
  5. Step 5: Solve for x
    x = 11,069,240.91/1,526.91
  6. Step 6: Final answer
    x = 7,249.46

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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.