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Finding the Third Proportional to 49,006 and 69,012.56

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Solution

The third proportional to 49,006 and 69,012.56 is: 97,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,006 : 69,012.56 = 69,012.56 : x
  2. Step 2: Convert to fraction form
    49,006/69,012.56 = 69,012.56/x
  3. Step 3: Cross multiply
    49,006x = 69,012.56 × 69,012.56
  4. Step 4: Simplify right side
    49,006x = 4,762,733,782.82
  5. Step 5: Solve for x
    x = 4,762,733,782.82/49,006
  6. Step 6: Final answer
    x = 97,186.75

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.