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Finding the Third Proportional to 46,901.06 and 73,692.94

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Solution

The third proportional to 46,901.06 and 73,692.94 is: 115,789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,901.06 : 73,692.94 = 73,692.94 : x
  2. Step 2: Convert to fraction form
    46,901.06/73,692.94 = 73,692.94/x
  3. Step 3: Cross multiply
    46,901.06x = 73,692.94 × 73,692.94
  4. Step 4: Simplify right side
    46,901.06x = 5,430,649,037.38
  5. Step 5: Solve for x
    x = 5,430,649,037.38/46,901.06
  6. Step 6: Final answer
    x = 115,789.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.