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Finding the Third Proportional to 2,223.56 and 2,534.91

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Solution

The third proportional to 2,223.56 and 2,534.91 is: 2,889.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.56 : 2,534.91 = 2,534.91 : x
  2. Step 2: Convert to fraction form
    2,223.56/2,534.91 = 2,534.91/x
  3. Step 3: Cross multiply
    2,223.56x = 2,534.91 × 2,534.91
  4. Step 4: Simplify right side
    2,223.56x = 6,425,749.70
  5. Step 5: Solve for x
    x = 6,425,749.70/2,223.56
  6. Step 6: Final answer
    x = 2,889.84

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.