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Finding the Third Proportional to 2,119.69 and 3,118.25

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Solution

The third proportional to 2,119.69 and 3,118.25 is: 4,587.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.69 : 3,118.25 = 3,118.25 : x
  2. Step 2: Convert to fraction form
    2,119.69/3,118.25 = 3,118.25/x
  3. Step 3: Cross multiply
    2,119.69x = 3,118.25 × 3,118.25
  4. Step 4: Simplify right side
    2,119.69x = 9,723,483.06
  5. Step 5: Solve for x
    x = 9,723,483.06/2,119.69
  6. Step 6: Final answer
    x = 4,587.22

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.