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Finding the Third Proportional to 30,140.44 and 65,638.69

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Solution

The third proportional to 30,140.44 and 65,638.69 is: 142,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,140.44 : 65,638.69 = 65,638.69 : x
  2. Step 2: Convert to fraction form
    30,140.44/65,638.69 = 65,638.69/x
  3. Step 3: Cross multiply
    30,140.44x = 65,638.69 × 65,638.69
  4. Step 4: Simplify right side
    30,140.44x = 4,308,437,296.72
  5. Step 5: Solve for x
    x = 4,308,437,296.72/30,140.44
  6. Step 6: Final answer
    x = 142,945.41

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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.