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Finding the Third Proportional to 36,699 and 58,323

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Solution

The third proportional to 36,699 and 58,323 is: 92,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,699 : 58,323 = 58,323 : x
  2. Step 2: Convert to fraction form
    36,699/58,323 = 58,323/x
  3. Step 3: Cross multiply
    36,699x = 58,323 × 58,323
  4. Step 4: Simplify right side
    36,699x = 3,401,572,329
  5. Step 5: Solve for x
    x = 3,401,572,329/36,699
  6. Step 6: Final answer
    x = 92,688.42

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.