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Finding the Third Proportional to 39,464.72 and 75,292.03

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Solution

The third proportional to 39,464.72 and 75,292.03 is: 143,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,464.72 : 75,292.03 = 75,292.03 : x
  2. Step 2: Convert to fraction form
    39,464.72/75,292.03 = 75,292.03/x
  3. Step 3: Cross multiply
    39,464.72x = 75,292.03 × 75,292.03
  4. Step 4: Simplify right side
    39,464.72x = 5,668,889,969.75
  5. Step 5: Solve for x
    x = 5,668,889,969.75/39,464.72
  6. Step 6: Final answer
    x = 143,644.50

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.