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Finding the Third Proportional to 5,570.44 and 12,101.06

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Solution

The third proportional to 5,570.44 and 12,101.06 is: 26,288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.44 : 12,101.06 = 12,101.06 : x
  2. Step 2: Convert to fraction form
    5,570.44/12,101.06 = 12,101.06/x
  3. Step 3: Cross multiply
    5,570.44x = 12,101.06 × 12,101.06
  4. Step 4: Simplify right side
    5,570.44x = 146,435,713.63
  5. Step 5: Solve for x
    x = 146,435,713.63/5,570.44
  6. Step 6: Final answer
    x = 26,288.01

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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.