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Finding the Third Proportional to 35,736 and 56,637

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Solution

The third proportional to 35,736 and 56,637 is: 89,762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,736 : 56,637 = 56,637 : x
  2. Step 2: Convert to fraction form
    35,736/56,637 = 56,637/x
  3. Step 3: Cross multiply
    35,736x = 56,637 × 56,637
  4. Step 4: Simplify right side
    35,736x = 3,207,749,769
  5. Step 5: Solve for x
    x = 3,207,749,769/35,736
  6. Step 6: Final answer
    x = 89,762.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.