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Finding the Third Proportional to 37,958 and 52,630

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Solution

The third proportional to 37,958 and 52,630 is: 72,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,958 : 52,630 = 52,630 : x
  2. Step 2: Convert to fraction form
    37,958/52,630 = 52,630/x
  3. Step 3: Cross multiply
    37,958x = 52,630 × 52,630
  4. Step 4: Simplify right side
    37,958x = 2,769,916,900
  5. Step 5: Solve for x
    x = 2,769,916,900/37,958
  6. Step 6: Final answer
    x = 72,973.20

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.