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Finding the Third Proportional to 30,297.38 and 65,434.50

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Solution

The third proportional to 30,297.38 and 65,434.50 is: 141,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297.38 : 65,434.50 = 65,434.50 : x
  2. Step 2: Convert to fraction form
    30,297.38/65,434.50 = 65,434.50/x
  3. Step 3: Cross multiply
    30,297.38x = 65,434.50 × 65,434.50
  4. Step 4: Simplify right side
    30,297.38x = 4,281,673,790.25
  5. Step 5: Solve for x
    x = 4,281,673,790.25/30,297.38
  6. Step 6: Final answer
    x = 141,321.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.