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Finding the Third Proportional to 35,113.50 and 49,465.69

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Solution

The third proportional to 35,113.50 and 49,465.69 is: 69,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,113.50 : 49,465.69 = 49,465.69 : x
  2. Step 2: Convert to fraction form
    35,113.50/49,465.69 = 49,465.69/x
  3. Step 3: Cross multiply
    35,113.50x = 49,465.69 × 49,465.69
  4. Step 4: Simplify right side
    35,113.50x = 2,446,854,239.85
  5. Step 5: Solve for x
    x = 2,446,854,239.85/35,113.50
  6. Step 6: Final answer
    x = 69,684.15

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.