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Finding the Third Proportional to 31,047 and 49,183.13

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Solution

The third proportional to 31,047 and 49,183.13 is: 77,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,047 : 49,183.13 = 49,183.13 : x
  2. Step 2: Convert to fraction form
    31,047/49,183.13 = 49,183.13/x
  3. Step 3: Cross multiply
    31,047x = 49,183.13 × 49,183.13
  4. Step 4: Simplify right side
    31,047x = 2,418,979,784.77
  5. Step 5: Solve for x
    x = 2,418,979,784.77/31,047
  6. Step 6: Final answer
    x = 77,913.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.