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Finding the Third Proportional to 29,614 and 43,970

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Solution

The third proportional to 29,614 and 43,970 is: 65,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,614 : 43,970 = 43,970 : x
  2. Step 2: Convert to fraction form
    29,614/43,970 = 43,970/x
  3. Step 3: Cross multiply
    29,614x = 43,970 × 43,970
  4. Step 4: Simplify right side
    29,614x = 1,933,360,900
  5. Step 5: Solve for x
    x = 1,933,360,900/29,614
  6. Step 6: Final answer
    x = 65,285.37

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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.