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Finding the Third Proportional to 38,856.38 and 57,009.75

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Solution

The third proportional to 38,856.38 and 57,009.75 is: 83,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,856.38 : 57,009.75 = 57,009.75 : x
  2. Step 2: Convert to fraction form
    38,856.38/57,009.75 = 57,009.75/x
  3. Step 3: Cross multiply
    38,856.38x = 57,009.75 × 57,009.75
  4. Step 4: Simplify right side
    38,856.38x = 3,250,111,595.06
  5. Step 5: Solve for x
    x = 3,250,111,595.06/38,856.38
  6. Step 6: Final answer
    x = 83,644.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.