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Finding the Third Proportional to 36,922 and 58,695

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Solution

The third proportional to 36,922 and 58,695 is: 93,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,922 : 58,695 = 58,695 : x
  2. Step 2: Convert to fraction form
    36,922/58,695 = 58,695/x
  3. Step 3: Cross multiply
    36,922x = 58,695 × 58,695
  4. Step 4: Simplify right side
    36,922x = 3,445,103,025
  5. Step 5: Solve for x
    x = 3,445,103,025/36,922
  6. Step 6: Final answer
    x = 93,307.60

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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.