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Finding the Third Proportional to 30,170.81 and 64,349.44

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Solution

The third proportional to 30,170.81 and 64,349.44 is: 137,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,170.81 : 64,349.44 = 64,349.44 : x
  2. Step 2: Convert to fraction form
    30,170.81/64,349.44 = 64,349.44/x
  3. Step 3: Cross multiply
    30,170.81x = 64,349.44 × 64,349.44
  4. Step 4: Simplify right side
    30,170.81x = 4,140,850,106.57
  5. Step 5: Solve for x
    x = 4,140,850,106.57/30,170.81
  6. Step 6: Final answer
    x = 137,246.89

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.