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Finding the Third Proportional to 35,411.25 and 51,841.13

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Solution

The third proportional to 35,411.25 and 51,841.13 is: 75,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,411.25 : 51,841.13 = 51,841.13 : x
  2. Step 2: Convert to fraction form
    35,411.25/51,841.13 = 51,841.13/x
  3. Step 3: Cross multiply
    35,411.25x = 51,841.13 × 51,841.13
  4. Step 4: Simplify right side
    35,411.25x = 2,687,502,241.27
  5. Step 5: Solve for x
    x = 2,687,502,241.27/35,411.25
  6. Step 6: Final answer
    x = 75,894.02

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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.