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Finding the Third Proportional to 31,846.50 and 47,277

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Solution

The third proportional to 31,846.50 and 47,277 is: 70,184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,846.50 : 47,277 = 47,277 : x
  2. Step 2: Convert to fraction form
    31,846.50/47,277 = 47,277/x
  3. Step 3: Cross multiply
    31,846.50x = 47,277 × 47,277
  4. Step 4: Simplify right side
    31,846.50x = 2,235,114,729
  5. Step 5: Solve for x
    x = 2,235,114,729/31,846.50
  6. Step 6: Final answer
    x = 70,184.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.