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Finding the Third Proportional to 52,624.69 and 68,275.41

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Solution

The third proportional to 52,624.69 and 68,275.41 is: 88,580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,624.69 : 68,275.41 = 68,275.41 : x
  2. Step 2: Convert to fraction form
    52,624.69/68,275.41 = 68,275.41/x
  3. Step 3: Cross multiply
    52,624.69x = 68,275.41 × 68,275.41
  4. Step 4: Simplify right side
    52,624.69x = 4,661,531,098.60
  5. Step 5: Solve for x
    x = 4,661,531,098.60/52,624.69
  6. Step 6: Final answer
    x = 88,580.69

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.