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Finding the Third Proportional to 37,928 and 57,417

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Solution

The third proportional to 37,928 and 57,417 is: 86,920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,928 : 57,417 = 57,417 : x
  2. Step 2: Convert to fraction form
    37,928/57,417 = 57,417/x
  3. Step 3: Cross multiply
    37,928x = 57,417 × 57,417
  4. Step 4: Simplify right side
    37,928x = 3,296,711,889
  5. Step 5: Solve for x
    x = 3,296,711,889/37,928
  6. Step 6: Final answer
    x = 86,920.27

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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.