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Finding the Third Proportional to 31,070 and 47,649

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Solution

The third proportional to 31,070 and 47,649 is: 73,074.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070 : 47,649 = 47,649 : x
  2. Step 2: Convert to fraction form
    31,070/47,649 = 47,649/x
  3. Step 3: Cross multiply
    31,070x = 47,649 × 47,649
  4. Step 4: Simplify right side
    31,070x = 2,270,427,201
  5. Step 5: Solve for x
    x = 2,270,427,201/31,070
  6. Step 6: Final answer
    x = 73,074.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.