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Finding the Third Proportional to 18,102.55 and 37,463.05

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Solution

The third proportional to 18,102.55 and 37,463.05 is: 77,529.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.55 : 37,463.05 = 37,463.05 : x
  2. Step 2: Convert to fraction form
    18,102.55/37,463.05 = 37,463.05/x
  3. Step 3: Cross multiply
    18,102.55x = 37,463.05 × 37,463.05
  4. Step 4: Simplify right side
    18,102.55x = 1,403,480,393.35
  5. Step 5: Solve for x
    x = 1,403,480,393.35/18,102.55
  6. Step 6: Final answer
    x = 77,529.43

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.