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Finding the Third Proportional to 31,140 and 47,034

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Solution

The third proportional to 31,140 and 47,034 is: 71,040.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,140 : 47,034 = 47,034 : x
  2. Step 2: Convert to fraction form
    31,140/47,034 = 47,034/x
  3. Step 3: Cross multiply
    31,140x = 47,034 × 47,034
  4. Step 4: Simplify right side
    31,140x = 2,212,197,156
  5. Step 5: Solve for x
    x = 2,212,197,156/31,140
  6. Step 6: Final answer
    x = 71,040.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.