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Finding the Third Proportional to 37,200.19 and 53,175.38

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Solution

The third proportional to 37,200.19 and 53,175.38 is: 76,010.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,200.19 : 53,175.38 = 53,175.38 : x
  2. Step 2: Convert to fraction form
    37,200.19/53,175.38 = 53,175.38/x
  3. Step 3: Cross multiply
    37,200.19x = 53,175.38 × 53,175.38
  4. Step 4: Simplify right side
    37,200.19x = 2,827,620,506.39
  5. Step 5: Solve for x
    x = 2,827,620,506.39/37,200.19
  6. Step 6: Final answer
    x = 76,010.92

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.