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Finding the Third Proportional to 14,060.25 and 31,856.63

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Solution

The third proportional to 14,060.25 and 31,856.63 is: 72,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,060.25 : 31,856.63 = 31,856.63 : x
  2. Step 2: Convert to fraction form
    14,060.25/31,856.63 = 31,856.63/x
  3. Step 3: Cross multiply
    14,060.25x = 31,856.63 × 31,856.63
  4. Step 4: Simplify right side
    14,060.25x = 1,014,844,556.39
  5. Step 5: Solve for x
    x = 1,014,844,556.39/14,060.25
  6. Step 6: Final answer
    x = 72,178.27

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.