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Finding the Third Proportional to 4,086.74 and 8,827.02

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Solution

The third proportional to 4,086.74 and 8,827.02 is: 19,065.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.74 : 8,827.02 = 8,827.02 : x
  2. Step 2: Convert to fraction form
    4,086.74/8,827.02 = 8,827.02/x
  3. Step 3: Cross multiply
    4,086.74x = 8,827.02 × 8,827.02
  4. Step 4: Simplify right side
    4,086.74x = 77,916,325.53
  5. Step 5: Solve for x
    x = 77,916,325.53/4,086.74
  6. Step 6: Final answer
    x = 19,065.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.