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Finding the Third Proportional to 31,329 and 47,985.75

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Solution

The third proportional to 31,329 and 47,985.75 is: 73,498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,329 : 47,985.75 = 47,985.75 : x
  2. Step 2: Convert to fraction form
    31,329/47,985.75 = 47,985.75/x
  3. Step 3: Cross multiply
    31,329x = 47,985.75 × 47,985.75
  4. Step 4: Simplify right side
    31,329x = 2,302,632,203.06
  5. Step 5: Solve for x
    x = 2,302,632,203.06/31,329
  6. Step 6: Final answer
    x = 73,498.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.