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Finding the Third Proportional to 31,666 and 47,011

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Solution

The third proportional to 31,666 and 47,011 is: 69,792.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,666 : 47,011 = 47,011 : x
  2. Step 2: Convert to fraction form
    31,666/47,011 = 47,011/x
  3. Step 3: Cross multiply
    31,666x = 47,011 × 47,011
  4. Step 4: Simplify right side
    31,666x = 2,210,034,121
  5. Step 5: Solve for x
    x = 2,210,034,121/31,666
  6. Step 6: Final answer
    x = 69,792.02

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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.