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Finding the Third Proportional to 37,952 and 56,919

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Solution

The third proportional to 37,952 and 56,919 is: 85,365.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,952 : 56,919 = 56,919 : x
  2. Step 2: Convert to fraction form
    37,952/56,919 = 56,919/x
  3. Step 3: Cross multiply
    37,952x = 56,919 × 56,919
  4. Step 4: Simplify right side
    37,952x = 3,239,772,561
  5. Step 5: Solve for x
    x = 3,239,772,561/37,952
  6. Step 6: Final answer
    x = 85,365.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.