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Finding the Third Proportional to 21,481 and 32,518.50

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Solution

The third proportional to 21,481 and 32,518.50 is: 49,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,481 : 32,518.50 = 32,518.50 : x
  2. Step 2: Convert to fraction form
    21,481/32,518.50 = 32,518.50/x
  3. Step 3: Cross multiply
    21,481x = 32,518.50 × 32,518.50
  4. Step 4: Simplify right side
    21,481x = 1,057,452,842.25
  5. Step 5: Solve for x
    x = 1,057,452,842.25/21,481
  6. Step 6: Final answer
    x = 49,227.36

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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.