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Finding the Third Proportional to 46,489.78 and 69,050.81

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Solution

The third proportional to 46,489.78 and 69,050.81 is: 102,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,489.78 : 69,050.81 = 69,050.81 : x
  2. Step 2: Convert to fraction form
    46,489.78/69,050.81 = 69,050.81/x
  3. Step 3: Cross multiply
    46,489.78x = 69,050.81 × 69,050.81
  4. Step 4: Simplify right side
    46,489.78x = 4,768,014,706.91
  5. Step 5: Solve for x
    x = 4,768,014,706.91/46,489.78
  6. Step 6: Final answer
    x = 102,560.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.