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Finding the Third Proportional to 2,558.06 and 5,597.06

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Solution

The third proportional to 2,558.06 and 5,597.06 is: 12,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.06 : 5,597.06 = 5,597.06 : x
  2. Step 2: Convert to fraction form
    2,558.06/5,597.06 = 5,597.06/x
  3. Step 3: Cross multiply
    2,558.06x = 5,597.06 × 5,597.06
  4. Step 4: Simplify right side
    2,558.06x = 31,327,108.63
  5. Step 5: Solve for x
    x = 31,327,108.63/2,558.06
  6. Step 6: Final answer
    x = 12,246.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.