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Finding the Third Proportional to 8,898 and 13,771.50

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Solution

The third proportional to 8,898 and 13,771.50 is: 21,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,898 : 13,771.50 = 13,771.50 : x
  2. Step 2: Convert to fraction form
    8,898/13,771.50 = 13,771.50/x
  3. Step 3: Cross multiply
    8,898x = 13,771.50 × 13,771.50
  4. Step 4: Simplify right side
    8,898x = 189,654,212.25
  5. Step 5: Solve for x
    x = 189,654,212.25/8,898
  6. Step 6: Final answer
    x = 21,314.25

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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.