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Finding the Third Proportional to 2,509.73 and 3,906.98

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Solution

The third proportional to 2,509.73 and 3,906.98 is: 6,082.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.73 : 3,906.98 = 3,906.98 : x
  2. Step 2: Convert to fraction form
    2,509.73/3,906.98 = 3,906.98/x
  3. Step 3: Cross multiply
    2,509.73x = 3,906.98 × 3,906.98
  4. Step 4: Simplify right side
    2,509.73x = 15,264,526.91
  5. Step 5: Solve for x
    x = 15,264,526.91/2,509.73
  6. Step 6: Final answer
    x = 6,082.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.