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Finding the Third Proportional to 46,843.50 and 69,024.50

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Solution

The third proportional to 46,843.50 and 69,024.50 is: 101,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,843.50 : 69,024.50 = 69,024.50 : x
  2. Step 2: Convert to fraction form
    46,843.50/69,024.50 = 69,024.50/x
  3. Step 3: Cross multiply
    46,843.50x = 69,024.50 × 69,024.50
  4. Step 4: Simplify right side
    46,843.50x = 4,764,381,600.25
  5. Step 5: Solve for x
    x = 4,764,381,600.25/46,843.50
  6. Step 6: Final answer
    x = 101,708.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.