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Finding the Third Proportional to 31,389.75 and 48,468.38

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Solution

The third proportional to 31,389.75 and 48,468.38 is: 74,839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,389.75 : 48,468.38 = 48,468.38 : x
  2. Step 2: Convert to fraction form
    31,389.75/48,468.38 = 48,468.38/x
  3. Step 3: Cross multiply
    31,389.75x = 48,468.38 × 48,468.38
  4. Step 4: Simplify right side
    31,389.75x = 2,349,183,375.14
  5. Step 5: Solve for x
    x = 2,349,183,375.14/31,389.75
  6. Step 6: Final answer
    x = 74,839.19

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Why These Related Problems?

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