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Finding the Third Proportional to 29,599 and 41,637

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Solution

The third proportional to 29,599 and 41,637 is: 58,570.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,599 : 41,637 = 41,637 : x
  2. Step 2: Convert to fraction form
    29,599/41,637 = 41,637/x
  3. Step 3: Cross multiply
    29,599x = 41,637 × 41,637
  4. Step 4: Simplify right side
    29,599x = 1,733,639,769
  5. Step 5: Solve for x
    x = 1,733,639,769/29,599
  6. Step 6: Final answer
    x = 58,570.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.