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Finding the Third Proportional to 9,502 and 14,926

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Solution

The third proportional to 9,502 and 14,926 is: 23,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502 : 14,926 = 14,926 : x
  2. Step 2: Convert to fraction form
    9,502/14,926 = 14,926/x
  3. Step 3: Cross multiply
    9,502x = 14,926 × 14,926
  4. Step 4: Simplify right side
    9,502x = 222,785,476
  5. Step 5: Solve for x
    x = 222,785,476/9,502
  6. Step 6: Final answer
    x = 23,446.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.