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Finding the Third Proportional to 8,826 and 13,660.50

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Solution

The third proportional to 8,826 and 13,660.50 is: 21,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,826 : 13,660.50 = 13,660.50 : x
  2. Step 2: Convert to fraction form
    8,826/13,660.50 = 13,660.50/x
  3. Step 3: Cross multiply
    8,826x = 13,660.50 × 13,660.50
  4. Step 4: Simplify right side
    8,826x = 186,609,260.25
  5. Step 5: Solve for x
    x = 186,609,260.25/8,826
  6. Step 6: Final answer
    x = 21,143.13

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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.