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Finding the Third Proportional to 25,013.81 and 33,693.47

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Solution

The third proportional to 25,013.81 and 33,693.47 is: 45,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,013.81 : 33,693.47 = 33,693.47 : x
  2. Step 2: Convert to fraction form
    25,013.81/33,693.47 = 33,693.47/x
  3. Step 3: Cross multiply
    25,013.81x = 33,693.47 × 33,693.47
  4. Step 4: Simplify right side
    25,013.81x = 1,135,249,836.41
  5. Step 5: Solve for x
    x = 1,135,249,836.41/25,013.81
  6. Step 6: Final answer
    x = 45,384.92

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.