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Finding the Third Proportional to 29,940.19 and 49,897.69

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Solution

The third proportional to 29,940.19 and 49,897.69 is: 83,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,940.19 : 49,897.69 = 49,897.69 : x
  2. Step 2: Convert to fraction form
    29,940.19/49,897.69 = 49,897.69/x
  3. Step 3: Cross multiply
    29,940.19x = 49,897.69 × 49,897.69
  4. Step 4: Simplify right side
    29,940.19x = 2,489,779,217.85
  5. Step 5: Solve for x
    x = 2,489,779,217.85/29,940.19
  6. Step 6: Final answer
    x = 83,158.44

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.