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Finding the Third Proportional to 33,776.63 and 73,498.88

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Solution

The third proportional to 33,776.63 and 73,498.88 is: 159,935.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,776.63 : 73,498.88 = 73,498.88 : x
  2. Step 2: Convert to fraction form
    33,776.63/73,498.88 = 73,498.88/x
  3. Step 3: Cross multiply
    33,776.63x = 73,498.88 × 73,498.88
  4. Step 4: Simplify right side
    33,776.63x = 5,402,084,626.27
  5. Step 5: Solve for x
    x = 5,402,084,626.27/33,776.63
  6. Step 6: Final answer
    x = 159,935.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.