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Finding the Third Proportional to 12,570 and 29,734

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Solution

The third proportional to 12,570 and 29,734 is: 70,334.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570 : 29,734 = 29,734 : x
  2. Step 2: Convert to fraction form
    12,570/29,734 = 29,734/x
  3. Step 3: Cross multiply
    12,570x = 29,734 × 29,734
  4. Step 4: Simplify right side
    12,570x = 884,110,756
  5. Step 5: Solve for x
    x = 884,110,756/12,570
  6. Step 6: Final answer
    x = 70,334.98

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.