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Finding the Third Proportional to 46,297.20 and 69,248.36

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Solution

The third proportional to 46,297.20 and 69,248.36 is: 103,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,297.20 : 69,248.36 = 69,248.36 : x
  2. Step 2: Convert to fraction form
    46,297.20/69,248.36 = 69,248.36/x
  3. Step 3: Cross multiply
    46,297.20x = 69,248.36 × 69,248.36
  4. Step 4: Simplify right side
    46,297.20x = 4,795,334,735.13
  5. Step 5: Solve for x
    x = 4,795,334,735.13/46,297.20
  6. Step 6: Final answer
    x = 103,577.22

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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.