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Finding the Third Proportional to 9,317 and 14,095

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Solution

The third proportional to 9,317 and 14,095 is: 21,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317 : 14,095 = 14,095 : x
  2. Step 2: Convert to fraction form
    9,317/14,095 = 14,095/x
  3. Step 3: Cross multiply
    9,317x = 14,095 × 14,095
  4. Step 4: Simplify right side
    9,317x = 198,669,025
  5. Step 5: Solve for x
    x = 198,669,025/9,317
  6. Step 6: Final answer
    x = 21,323.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.