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Finding the Third Proportional to 37,032.19 and 81,622.69

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Solution

The third proportional to 37,032.19 and 81,622.69 is: 179,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,032.19 : 81,622.69 = 81,622.69 : x
  2. Step 2: Convert to fraction form
    37,032.19/81,622.69 = 81,622.69/x
  3. Step 3: Cross multiply
    37,032.19x = 81,622.69 × 81,622.69
  4. Step 4: Simplify right side
    37,032.19x = 6,662,263,114.72
  5. Step 5: Solve for x
    x = 6,662,263,114.72/37,032.19
  6. Step 6: Final answer
    x = 179,904.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.