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Finding the Third Proportional to 8,721 and 13,054.50

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Solution

The third proportional to 8,721 and 13,054.50 is: 19,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721 : 13,054.50 = 13,054.50 : x
  2. Step 2: Convert to fraction form
    8,721/13,054.50 = 13,054.50/x
  3. Step 3: Cross multiply
    8,721x = 13,054.50 × 13,054.50
  4. Step 4: Simplify right side
    8,721x = 170,419,970.25
  5. Step 5: Solve for x
    x = 170,419,970.25/8,721
  6. Step 6: Final answer
    x = 19,541.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.