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Finding the Third Proportional to 46,048.50 and 61,122.09

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Solution

The third proportional to 46,048.50 and 61,122.09 is: 81,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,048.50 : 61,122.09 = 61,122.09 : x
  2. Step 2: Convert to fraction form
    46,048.50/61,122.09 = 61,122.09/x
  3. Step 3: Cross multiply
    46,048.50x = 61,122.09 × 61,122.09
  4. Step 4: Simplify right side
    46,048.50x = 3,735,910,344.38
  5. Step 5: Solve for x
    x = 3,735,910,344.38/46,048.50
  6. Step 6: Final answer
    x = 81,129.90

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.