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Finding the Third Proportional to 8,907 and 13,969.50

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Solution

The third proportional to 8,907 and 13,969.50 is: 21,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,907 : 13,969.50 = 13,969.50 : x
  2. Step 2: Convert to fraction form
    8,907/13,969.50 = 13,969.50/x
  3. Step 3: Cross multiply
    8,907x = 13,969.50 × 13,969.50
  4. Step 4: Simplify right side
    8,907x = 195,146,930.25
  5. Step 5: Solve for x
    x = 195,146,930.25/8,907
  6. Step 6: Final answer
    x = 21,909.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.