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Finding the Third Proportional to 25,983 and 40,493.25

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Solution

The third proportional to 25,983 and 40,493.25 is: 63,106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,983 : 40,493.25 = 40,493.25 : x
  2. Step 2: Convert to fraction form
    25,983/40,493.25 = 40,493.25/x
  3. Step 3: Cross multiply
    25,983x = 40,493.25 × 40,493.25
  4. Step 4: Simplify right side
    25,983x = 1,639,703,295.56
  5. Step 5: Solve for x
    x = 1,639,703,295.56/25,983
  6. Step 6: Final answer
    x = 63,106.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.