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Finding the Third Proportional to 21,232.50 and 32,739

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Solution

The third proportional to 21,232.50 and 32,739 is: 50,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232.50 : 32,739 = 32,739 : x
  2. Step 2: Convert to fraction form
    21,232.50/32,739 = 32,739/x
  3. Step 3: Cross multiply
    21,232.50x = 32,739 × 32,739
  4. Step 4: Simplify right side
    21,232.50x = 1,071,842,121
  5. Step 5: Solve for x
    x = 1,071,842,121/21,232.50
  6. Step 6: Final answer
    x = 50,481.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.