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Finding the Third Proportional to 46,747.13 and 69,999.19

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Solution

The third proportional to 46,747.13 and 69,999.19 is: 104,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,747.13 : 69,999.19 = 69,999.19 : x
  2. Step 2: Convert to fraction form
    46,747.13/69,999.19 = 69,999.19/x
  3. Step 3: Cross multiply
    46,747.13x = 69,999.19 × 69,999.19
  4. Step 4: Simplify right side
    46,747.13x = 4,899,886,250.66
  5. Step 5: Solve for x
    x = 4,899,886,250.66/46,747.13
  6. Step 6: Final answer
    x = 104,816.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.