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Finding the Third Proportional to 8,095 and 10,937

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Solution

The third proportional to 8,095 and 10,937 is: 14,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095 : 10,937 = 10,937 : x
  2. Step 2: Convert to fraction form
    8,095/10,937 = 10,937/x
  3. Step 3: Cross multiply
    8,095x = 10,937 × 10,937
  4. Step 4: Simplify right side
    8,095x = 119,617,969
  5. Step 5: Solve for x
    x = 119,617,969/8,095
  6. Step 6: Final answer
    x = 14,776.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.