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Finding the Third Proportional to 35,658.19 and 49,849.69

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Solution

The third proportional to 35,658.19 and 49,849.69 is: 69,689.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,658.19 : 49,849.69 = 49,849.69 : x
  2. Step 2: Convert to fraction form
    35,658.19/49,849.69 = 49,849.69/x
  3. Step 3: Cross multiply
    35,658.19x = 49,849.69 × 49,849.69
  4. Step 4: Simplify right side
    35,658.19x = 2,484,991,343.85
  5. Step 5: Solve for x
    x = 2,484,991,343.85/35,658.19
  6. Step 6: Final answer
    x = 69,689.22

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.