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Finding the Third Proportional to 29,749 and 43,630

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Solution

The third proportional to 29,749 and 43,630 is: 63,987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,749 : 43,630 = 43,630 : x
  2. Step 2: Convert to fraction form
    29,749/43,630 = 43,630/x
  3. Step 3: Cross multiply
    29,749x = 43,630 × 43,630
  4. Step 4: Simplify right side
    29,749x = 1,903,576,900
  5. Step 5: Solve for x
    x = 1,903,576,900/29,749
  6. Step 6: Final answer
    x = 63,987.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.