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Finding the Third Proportional to 5,700.56 and 12,244.03

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Solution

The third proportional to 5,700.56 and 12,244.03 is: 26,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.56 : 12,244.03 = 12,244.03 : x
  2. Step 2: Convert to fraction form
    5,700.56/12,244.03 = 12,244.03/x
  3. Step 3: Cross multiply
    5,700.56x = 12,244.03 × 12,244.03
  4. Step 4: Simplify right side
    5,700.56x = 149,916,301.25
  5. Step 5: Solve for x
    x = 149,916,301.25/5,700.56
  6. Step 6: Final answer
    x = 26,298.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.