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Finding the Third Proportional to 31,178.63 and 47,546.34

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Solution

The third proportional to 31,178.63 and 47,546.34 is: 72,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.63 : 47,546.34 = 47,546.34 : x
  2. Step 2: Convert to fraction form
    31,178.63/47,546.34 = 47,546.34/x
  3. Step 3: Cross multiply
    31,178.63x = 47,546.34 × 47,546.34
  4. Step 4: Simplify right side
    31,178.63x = 2,260,654,803.99
  5. Step 5: Solve for x
    x = 2,260,654,803.99/31,178.63
  6. Step 6: Final answer
    x = 72,506.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.