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Finding the Third Proportional to 34,639 and 55,784

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Solution

The third proportional to 34,639 and 55,784 is: 89,836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,639 : 55,784 = 55,784 : x
  2. Step 2: Convert to fraction form
    34,639/55,784 = 55,784/x
  3. Step 3: Cross multiply
    34,639x = 55,784 × 55,784
  4. Step 4: Simplify right side
    34,639x = 3,111,854,656
  5. Step 5: Solve for x
    x = 3,111,854,656/34,639
  6. Step 6: Final answer
    x = 89,836.73

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.