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Finding the Third Proportional to 8,891 and 13,403.50

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Solution

The third proportional to 8,891 and 13,403.50 is: 20,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,891 : 13,403.50 = 13,403.50 : x
  2. Step 2: Convert to fraction form
    8,891/13,403.50 = 13,403.50/x
  3. Step 3: Cross multiply
    8,891x = 13,403.50 × 13,403.50
  4. Step 4: Simplify right side
    8,891x = 179,653,812.25
  5. Step 5: Solve for x
    x = 179,653,812.25/8,891
  6. Step 6: Final answer
    x = 20,206.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.