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Finding the Third Proportional to 3,086.16 and 4,656.09

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Solution

The third proportional to 3,086.16 and 4,656.09 is: 7,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.16 : 4,656.09 = 4,656.09 : x
  2. Step 2: Convert to fraction form
    3,086.16/4,656.09 = 4,656.09/x
  3. Step 3: Cross multiply
    3,086.16x = 4,656.09 × 4,656.09
  4. Step 4: Simplify right side
    3,086.16x = 21,679,209.01
  5. Step 5: Solve for x
    x = 21,679,209.01/3,086.16
  6. Step 6: Final answer
    x = 7,024.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.