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Finding the Third Proportional to 43,309.69 and 63,463.50

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Solution

The third proportional to 43,309.69 and 63,463.50 is: 92,995.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,309.69 : 63,463.50 = 63,463.50 : x
  2. Step 2: Convert to fraction form
    43,309.69/63,463.50 = 63,463.50/x
  3. Step 3: Cross multiply
    43,309.69x = 63,463.50 × 63,463.50
  4. Step 4: Simplify right side
    43,309.69x = 4,027,615,832.25
  5. Step 5: Solve for x
    x = 4,027,615,832.25/43,309.69
  6. Step 6: Final answer
    x = 92,995.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.