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Finding the Third Proportional to 33,759.28 and 72,752.06

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Solution

The third proportional to 33,759.28 and 72,752.06 is: 156,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,759.28 : 72,752.06 = 72,752.06 : x
  2. Step 2: Convert to fraction form
    33,759.28/72,752.06 = 72,752.06/x
  3. Step 3: Cross multiply
    33,759.28x = 72,752.06 × 72,752.06
  4. Step 4: Simplify right side
    33,759.28x = 5,292,862,598.00
  5. Step 5: Solve for x
    x = 5,292,862,598.00/33,759.28
  6. Step 6: Final answer
    x = 156,782.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.