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Finding the Third Proportional to 31,709.81 and 48,756.94

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Solution

The third proportional to 31,709.81 and 48,756.94 is: 74,968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.81 : 48,756.94 = 48,756.94 : x
  2. Step 2: Convert to fraction form
    31,709.81/48,756.94 = 48,756.94/x
  3. Step 3: Cross multiply
    31,709.81x = 48,756.94 × 48,756.94
  4. Step 4: Simplify right side
    31,709.81x = 2,377,238,954.38
  5. Step 5: Solve for x
    x = 2,377,238,954.38/31,709.81
  6. Step 6: Final answer
    x = 74,968.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.