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Finding the Third Proportional to 31,056.75 and 39,295.13

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Solution

The third proportional to 31,056.75 and 39,295.13 is: 49,718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056.75 : 39,295.13 = 39,295.13 : x
  2. Step 2: Convert to fraction form
    31,056.75/39,295.13 = 39,295.13/x
  3. Step 3: Cross multiply
    31,056.75x = 39,295.13 × 39,295.13
  4. Step 4: Simplify right side
    31,056.75x = 1,544,106,848.77
  5. Step 5: Solve for x
    x = 1,544,106,848.77/31,056.75
  6. Step 6: Final answer
    x = 49,718.88

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.