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Finding the Third Proportional to 30,237.05 and 65,827.69

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Solution

The third proportional to 30,237.05 and 65,827.69 is: 143,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,237.05 : 65,827.69 = 65,827.69 : x
  2. Step 2: Convert to fraction form
    30,237.05/65,827.69 = 65,827.69/x
  3. Step 3: Cross multiply
    30,237.05x = 65,827.69 × 65,827.69
  4. Step 4: Simplify right side
    30,237.05x = 4,333,284,441.60
  5. Step 5: Solve for x
    x = 4,333,284,441.60/30,237.05
  6. Step 6: Final answer
    x = 143,310.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.