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Finding the Third Proportional to 46,519.31 and 69,665.06

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Solution

The third proportional to 46,519.31 and 69,665.06 is: 104,327.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,519.31 : 69,665.06 = 69,665.06 : x
  2. Step 2: Convert to fraction form
    46,519.31/69,665.06 = 69,665.06/x
  3. Step 3: Cross multiply
    46,519.31x = 69,665.06 × 69,665.06
  4. Step 4: Simplify right side
    46,519.31x = 4,853,220,933.13
  5. Step 5: Solve for x
    x = 4,853,220,933.13/46,519.31
  6. Step 6: Final answer
    x = 104,327.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.