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Finding the Third Proportional to 46,244.25 and 69,239.81

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Solution

The third proportional to 46,244.25 and 69,239.81 is: 103,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,244.25 : 69,239.81 = 69,239.81 : x
  2. Step 2: Convert to fraction form
    46,244.25/69,239.81 = 69,239.81/x
  3. Step 3: Cross multiply
    46,244.25x = 69,239.81 × 69,239.81
  4. Step 4: Simplify right side
    46,244.25x = 4,794,151,635.04
  5. Step 5: Solve for x
    x = 4,794,151,635.04/46,244.25
  6. Step 6: Final answer
    x = 103,670.22

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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.