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Finding the Third Proportional to 21,620.25 and 32,116.50

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Solution

The third proportional to 21,620.25 and 32,116.50 is: 47,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,620.25 : 32,116.50 = 32,116.50 : x
  2. Step 2: Convert to fraction form
    21,620.25/32,116.50 = 32,116.50/x
  3. Step 3: Cross multiply
    21,620.25x = 32,116.50 × 32,116.50
  4. Step 4: Simplify right side
    21,620.25x = 1,031,469,572.25
  5. Step 5: Solve for x
    x = 1,031,469,572.25/21,620.25
  6. Step 6: Final answer
    x = 47,708.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.