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Finding the Third Proportional to 39,178.69 and 45,010.69

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Solution

The third proportional to 39,178.69 and 45,010.69 is: 51,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,178.69 : 45,010.69 = 45,010.69 : x
  2. Step 2: Convert to fraction form
    39,178.69/45,010.69 = 45,010.69/x
  3. Step 3: Cross multiply
    39,178.69x = 45,010.69 × 45,010.69
  4. Step 4: Simplify right side
    39,178.69x = 2,025,961,989.22
  5. Step 5: Solve for x
    x = 2,025,961,989.22/39,178.69
  6. Step 6: Final answer
    x = 51,710.82

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.