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Finding the Third Proportional to 3,102.05 and 4,537.90

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Solution

The third proportional to 3,102.05 and 4,537.90 is: 6,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.05 : 4,537.90 = 4,537.90 : x
  2. Step 2: Convert to fraction form
    3,102.05/4,537.90 = 4,537.90/x
  3. Step 3: Cross multiply
    3,102.05x = 4,537.90 × 4,537.90
  4. Step 4: Simplify right side
    3,102.05x = 20,592,522.23
  5. Step 5: Solve for x
    x = 20,592,522.23/3,102.05
  6. Step 6: Final answer
    x = 6,638.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.