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Finding the Third Proportional to 46,044.38 and 69,237.75

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Solution

The third proportional to 46,044.38 and 69,237.75 is: 104,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,044.38 : 69,237.75 = 69,237.75 : x
  2. Step 2: Convert to fraction form
    46,044.38/69,237.75 = 69,237.75/x
  3. Step 3: Cross multiply
    46,044.38x = 69,237.75 × 69,237.75
  4. Step 4: Simplify right side
    46,044.38x = 4,793,866,025.06
  5. Step 5: Solve for x
    x = 4,793,866,025.06/46,044.38
  6. Step 6: Final answer
    x = 104,114.04

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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.