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Finding the Third Proportional to 37,200.09 and 56,135.53

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Solution

The third proportional to 37,200.09 and 56,135.53 is: 84,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,200.09 : 56,135.53 = 56,135.53 : x
  2. Step 2: Convert to fraction form
    37,200.09/56,135.53 = 56,135.53/x
  3. Step 3: Cross multiply
    37,200.09x = 56,135.53 × 56,135.53
  4. Step 4: Simplify right side
    37,200.09x = 3,151,197,868.72
  5. Step 5: Solve for x
    x = 3,151,197,868.72/37,200.09
  6. Step 6: Final answer
    x = 84,709.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.