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Finding the Third Proportional to 35,411.75 and 51,841.75

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Solution

The third proportional to 35,411.75 and 51,841.75 is: 75,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,411.75 : 51,841.75 = 51,841.75 : x
  2. Step 2: Convert to fraction form
    35,411.75/51,841.75 = 51,841.75/x
  3. Step 3: Cross multiply
    35,411.75x = 51,841.75 × 51,841.75
  4. Step 4: Simplify right side
    35,411.75x = 2,687,567,043.06
  5. Step 5: Solve for x
    x = 2,687,567,043.06/35,411.75
  6. Step 6: Final answer
    x = 75,894.78

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.