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Finding the Third Proportional to 2,583.14 and 5,575.08

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Solution

The third proportional to 2,583.14 and 5,575.08 is: 12,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.14 : 5,575.08 = 5,575.08 : x
  2. Step 2: Convert to fraction form
    2,583.14/5,575.08 = 5,575.08/x
  3. Step 3: Cross multiply
    2,583.14x = 5,575.08 × 5,575.08
  4. Step 4: Simplify right side
    2,583.14x = 31,081,496.10
  5. Step 5: Solve for x
    x = 31,081,496.10/2,583.14
  6. Step 6: Final answer
    x = 12,032.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.