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Finding the Third Proportional to 37,985 and 58,967

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Solution

The third proportional to 37,985 and 58,967 is: 91,538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,985 : 58,967 = 58,967 : x
  2. Step 2: Convert to fraction form
    37,985/58,967 = 58,967/x
  3. Step 3: Cross multiply
    37,985x = 58,967 × 58,967
  4. Step 4: Simplify right side
    37,985x = 3,477,107,089
  5. Step 5: Solve for x
    x = 3,477,107,089/37,985
  6. Step 6: Final answer
    x = 91,538.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.