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Finding the Third Proportional to 2,570.27 and 5,580.98

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Solution

The third proportional to 2,570.27 and 5,580.98 is: 12,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.27 : 5,580.98 = 5,580.98 : x
  2. Step 2: Convert to fraction form
    2,570.27/5,580.98 = 5,580.98/x
  3. Step 3: Cross multiply
    2,570.27x = 5,580.98 × 5,580.98
  4. Step 4: Simplify right side
    2,570.27x = 31,147,386.59
  5. Step 5: Solve for x
    x = 31,147,386.59/2,570.27
  6. Step 6: Final answer
    x = 12,118.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.