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Finding the Third Proportional to 34,531.31 and 49,465.69

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Solution

The third proportional to 34,531.31 and 49,465.69 is: 70,859.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,531.31 : 49,465.69 = 49,465.69 : x
  2. Step 2: Convert to fraction form
    34,531.31/49,465.69 = 49,465.69/x
  3. Step 3: Cross multiply
    34,531.31x = 49,465.69 × 49,465.69
  4. Step 4: Simplify right side
    34,531.31x = 2,446,854,239.85
  5. Step 5: Solve for x
    x = 2,446,854,239.85/34,531.31
  6. Step 6: Final answer
    x = 70,859.00

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.