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Finding the Third Proportional to 5,584.36 and 8,638.95

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Solution

The third proportional to 5,584.36 and 8,638.95 is: 13,364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.36 : 8,638.95 = 8,638.95 : x
  2. Step 2: Convert to fraction form
    5,584.36/8,638.95 = 8,638.95/x
  3. Step 3: Cross multiply
    5,584.36x = 8,638.95 × 8,638.95
  4. Step 4: Simplify right side
    5,584.36x = 74,631,376.11
  5. Step 5: Solve for x
    x = 74,631,376.11/5,584.36
  6. Step 6: Final answer
    x = 13,364.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.