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Finding the Third Proportional to 8,154 and 15,066

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Solution

The third proportional to 8,154 and 15,066 is: 27,837.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154 : 15,066 = 15,066 : x
  2. Step 2: Convert to fraction form
    8,154/15,066 = 15,066/x
  3. Step 3: Cross multiply
    8,154x = 15,066 × 15,066
  4. Step 4: Simplify right side
    8,154x = 226,984,356
  5. Step 5: Solve for x
    x = 226,984,356/8,154
  6. Step 6: Final answer
    x = 27,837.18

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.