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Finding the Third Proportional to 46,034.72 and 69,223.22

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Solution

The third proportional to 46,034.72 and 69,223.22 is: 104,092.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,034.72 : 69,223.22 = 69,223.22 : x
  2. Step 2: Convert to fraction form
    46,034.72/69,223.22 = 69,223.22/x
  3. Step 3: Cross multiply
    46,034.72x = 69,223.22 × 69,223.22
  4. Step 4: Simplify right side
    46,034.72x = 4,791,854,014.11
  5. Step 5: Solve for x
    x = 4,791,854,014.11/46,034.72
  6. Step 6: Final answer
    x = 104,092.18

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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.