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Finding the Third Proportional to 52,704.84 and 82,587.09

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Solution

The third proportional to 52,704.84 and 82,587.09 is: 129,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,704.84 : 82,587.09 = 82,587.09 : x
  2. Step 2: Convert to fraction form
    52,704.84/82,587.09 = 82,587.09/x
  3. Step 3: Cross multiply
    52,704.84x = 82,587.09 × 82,587.09
  4. Step 4: Simplify right side
    52,704.84x = 6,820,628,054.07
  5. Step 5: Solve for x
    x = 6,820,628,054.07/52,704.84
  6. Step 6: Final answer
    x = 129,411.79

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.