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Finding the Third Proportional to 33,466.50 and 53,807.63

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Solution

The third proportional to 33,466.50 and 53,807.63 is: 86,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,466.50 : 53,807.63 = 53,807.63 : x
  2. Step 2: Convert to fraction form
    33,466.50/53,807.63 = 53,807.63/x
  3. Step 3: Cross multiply
    33,466.50x = 53,807.63 × 53,807.63
  4. Step 4: Simplify right side
    33,466.50x = 2,895,260,508.14
  5. Step 5: Solve for x
    x = 2,895,260,508.14/33,466.50
  6. Step 6: Final answer
    x = 86,512.20

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.