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Finding the Third Proportional to 37,913 and 57,392

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Solution

The third proportional to 37,913 and 57,392 is: 86,878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,913 : 57,392 = 57,392 : x
  2. Step 2: Convert to fraction form
    37,913/57,392 = 57,392/x
  3. Step 3: Cross multiply
    37,913x = 57,392 × 57,392
  4. Step 4: Simplify right side
    37,913x = 3,293,841,664
  5. Step 5: Solve for x
    x = 3,293,841,664/37,913
  6. Step 6: Final answer
    x = 86,878.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.