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Finding the Third Proportional to 5,870 and 8,583

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Solution

The third proportional to 5,870 and 8,583 is: 12,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870 : 8,583 = 8,583 : x
  2. Step 2: Convert to fraction form
    5,870/8,583 = 8,583/x
  3. Step 3: Cross multiply
    5,870x = 8,583 × 8,583
  4. Step 4: Simplify right side
    5,870x = 73,667,889
  5. Step 5: Solve for x
    x = 73,667,889/5,870
  6. Step 6: Final answer
    x = 12,549.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.