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Finding the Third Proportional to 31,398 and 47,178

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Solution

The third proportional to 31,398 and 47,178 is: 70,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,398 : 47,178 = 47,178 : x
  2. Step 2: Convert to fraction form
    31,398/47,178 = 47,178/x
  3. Step 3: Cross multiply
    31,398x = 47,178 × 47,178
  4. Step 4: Simplify right side
    31,398x = 2,225,763,684
  5. Step 5: Solve for x
    x = 2,225,763,684/31,398
  6. Step 6: Final answer
    x = 70,888.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.