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Finding the Third Proportional to 2,281.68 and 3,322.15

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Solution

The third proportional to 2,281.68 and 3,322.15 is: 4,837.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.68 : 3,322.15 = 3,322.15 : x
  2. Step 2: Convert to fraction form
    2,281.68/3,322.15 = 3,322.15/x
  3. Step 3: Cross multiply
    2,281.68x = 3,322.15 × 3,322.15
  4. Step 4: Simplify right side
    2,281.68x = 11,036,660.51
  5. Step 5: Solve for x
    x = 11,036,660.51/2,281.68
  6. Step 6: Final answer
    x = 4,837.07

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.