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Finding the Third Proportional to 31,731.75 and 48,973.36

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Solution

The third proportional to 31,731.75 and 48,973.36 is: 75,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,731.75 : 48,973.36 = 48,973.36 : x
  2. Step 2: Convert to fraction form
    31,731.75/48,973.36 = 48,973.36/x
  3. Step 3: Cross multiply
    31,731.75x = 48,973.36 × 48,973.36
  4. Step 4: Simplify right side
    31,731.75x = 2,398,389,928.47
  5. Step 5: Solve for x
    x = 2,398,389,928.47/31,731.75
  6. Step 6: Final answer
    x = 75,583.29

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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.