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Finding the Third Proportional to 6,065 and 8,587

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Solution

The third proportional to 6,065 and 8,587 is: 12,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065 : 8,587 = 8,587 : x
  2. Step 2: Convert to fraction form
    6,065/8,587 = 8,587/x
  3. Step 3: Cross multiply
    6,065x = 8,587 × 8,587
  4. Step 4: Simplify right side
    6,065x = 73,736,569
  5. Step 5: Solve for x
    x = 73,736,569/6,065
  6. Step 6: Final answer
    x = 12,157.72

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.