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Finding the Third Proportional to 5,084.02 and 8,087.77

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Solution

The third proportional to 5,084.02 and 8,087.77 is: 12,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.02 : 8,087.77 = 8,087.77 : x
  2. Step 2: Convert to fraction form
    5,084.02/8,087.77 = 8,087.77/x
  3. Step 3: Cross multiply
    5,084.02x = 8,087.77 × 8,087.77
  4. Step 4: Simplify right side
    5,084.02x = 65,411,952.80
  5. Step 5: Solve for x
    x = 65,411,952.80/5,084.02
  6. Step 6: Final answer
    x = 12,866.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.