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Finding the Third Proportional to 2,580.19 and 5,622.75

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Solution

The third proportional to 2,580.19 and 5,622.75 is: 12,253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.19 : 5,622.75 = 5,622.75 : x
  2. Step 2: Convert to fraction form
    2,580.19/5,622.75 = 5,622.75/x
  3. Step 3: Cross multiply
    2,580.19x = 5,622.75 × 5,622.75
  4. Step 4: Simplify right side
    2,580.19x = 31,615,317.56
  5. Step 5: Solve for x
    x = 31,615,317.56/2,580.19
  6. Step 6: Final answer
    x = 12,253.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.