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Finding the Third Proportional to 7,569 and 10,117

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Solution

The third proportional to 7,569 and 10,117 is: 13,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569 : 10,117 = 10,117 : x
  2. Step 2: Convert to fraction form
    7,569/10,117 = 10,117/x
  3. Step 3: Cross multiply
    7,569x = 10,117 × 10,117
  4. Step 4: Simplify right side
    7,569x = 102,353,689
  5. Step 5: Solve for x
    x = 102,353,689/7,569
  6. Step 6: Final answer
    x = 13,522.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.