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Finding the Third Proportional to 38,624.34 and 55,128.09

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Solution

The third proportional to 38,624.34 and 55,128.09 is: 78,683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,624.34 : 55,128.09 = 55,128.09 : x
  2. Step 2: Convert to fraction form
    38,624.34/55,128.09 = 55,128.09/x
  3. Step 3: Cross multiply
    38,624.34x = 55,128.09 × 55,128.09
  4. Step 4: Simplify right side
    38,624.34x = 3,039,106,720.51
  5. Step 5: Solve for x
    x = 3,039,106,720.51/38,624.34
  6. Step 6: Final answer
    x = 78,683.71

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.