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Finding the Third Proportional to 48,256.13 and 69,615.38

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Solution

The third proportional to 48,256.13 and 69,615.38 is: 100,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,256.13 : 69,615.38 = 69,615.38 : x
  2. Step 2: Convert to fraction form
    48,256.13/69,615.38 = 69,615.38/x
  3. Step 3: Cross multiply
    48,256.13x = 69,615.38 × 69,615.38
  4. Step 4: Simplify right side
    48,256.13x = 4,846,300,436.39
  5. Step 5: Solve for x
    x = 4,846,300,436.39/48,256.13
  6. Step 6: Final answer
    x = 100,428.71

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.