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Finding the Third Proportional to 2,119.61 and 2,324.64

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Solution

The third proportional to 2,119.61 and 2,324.64 is: 2,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.61 : 2,324.64 = 2,324.64 : x
  2. Step 2: Convert to fraction form
    2,119.61/2,324.64 = 2,324.64/x
  3. Step 3: Cross multiply
    2,119.61x = 2,324.64 × 2,324.64
  4. Step 4: Simplify right side
    2,119.61x = 5,403,935.87
  5. Step 5: Solve for x
    x = 5,403,935.87/2,119.61
  6. Step 6: Final answer
    x = 2,549.50

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.