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Finding the Third Proportional to 25,297.31 and 37,740.94

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Solution

The third proportional to 25,297.31 and 37,740.94 is: 56,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,297.31 : 37,740.94 = 37,740.94 : x
  2. Step 2: Convert to fraction form
    25,297.31/37,740.94 = 37,740.94/x
  3. Step 3: Cross multiply
    25,297.31x = 37,740.94 × 37,740.94
  4. Step 4: Simplify right side
    25,297.31x = 1,424,378,363.38
  5. Step 5: Solve for x
    x = 1,424,378,363.38/25,297.31
  6. Step 6: Final answer
    x = 56,305.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.