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Finding the Third Proportional to 38,306 and 57,501

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Solution

The third proportional to 38,306 and 57,501 is: 86,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,306 : 57,501 = 57,501 : x
  2. Step 2: Convert to fraction form
    38,306/57,501 = 57,501/x
  3. Step 3: Cross multiply
    38,306x = 57,501 × 57,501
  4. Step 4: Simplify right side
    38,306x = 3,306,365,001
  5. Step 5: Solve for x
    x = 3,306,365,001/38,306
  6. Step 6: Final answer
    x = 86,314.55

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Why These Related Problems?

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