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Finding the Third Proportional to 37,290.06 and 57,818.81

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Solution

The third proportional to 37,290.06 and 57,818.81 is: 89,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,290.06 : 57,818.81 = 57,818.81 : x
  2. Step 2: Convert to fraction form
    37,290.06/57,818.81 = 57,818.81/x
  3. Step 3: Cross multiply
    37,290.06x = 57,818.81 × 57,818.81
  4. Step 4: Simplify right side
    37,290.06x = 3,343,015,078.91
  5. Step 5: Solve for x
    x = 3,343,015,078.91/37,290.06
  6. Step 6: Final answer
    x = 89,648.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.