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Finding the Third Proportional to 33,037.88 and 77,152.50

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Solution

The third proportional to 33,037.88 and 77,152.50 is: 180,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,037.88 : 77,152.50 = 77,152.50 : x
  2. Step 2: Convert to fraction form
    33,037.88/77,152.50 = 77,152.50/x
  3. Step 3: Cross multiply
    33,037.88x = 77,152.50 × 77,152.50
  4. Step 4: Simplify right side
    33,037.88x = 5,952,508,256.25
  5. Step 5: Solve for x
    x = 5,952,508,256.25/33,037.88
  6. Step 6: Final answer
    x = 180,172.25

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.