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Finding the Third Proportional to 35,064.75 and 49,321.13

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Solution

The third proportional to 35,064.75 and 49,321.13 is: 69,373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,064.75 : 49,321.13 = 49,321.13 : x
  2. Step 2: Convert to fraction form
    35,064.75/49,321.13 = 49,321.13/x
  3. Step 3: Cross multiply
    35,064.75x = 49,321.13 × 49,321.13
  4. Step 4: Simplify right side
    35,064.75x = 2,432,573,371.27
  5. Step 5: Solve for x
    x = 2,432,573,371.27/35,064.75
  6. Step 6: Final answer
    x = 69,373.75

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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.