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Finding the Third Proportional to 37,136.81 and 57,528.56

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Solution

The third proportional to 37,136.81 and 57,528.56 is: 89,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,136.81 : 57,528.56 = 57,528.56 : x
  2. Step 2: Convert to fraction form
    37,136.81/57,528.56 = 57,528.56/x
  3. Step 3: Cross multiply
    37,136.81x = 57,528.56 × 57,528.56
  4. Step 4: Simplify right side
    37,136.81x = 3,309,535,503.32
  5. Step 5: Solve for x
    x = 3,309,535,503.32/37,136.81
  6. Step 6: Final answer
    x = 89,117.38

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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.