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Finding the Third Proportional to 5,906 and 9,066

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Solution

The third proportional to 5,906 and 9,066 is: 13,916.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906 : 9,066 = 9,066 : x
  2. Step 2: Convert to fraction form
    5,906/9,066 = 9,066/x
  3. Step 3: Cross multiply
    5,906x = 9,066 × 9,066
  4. Step 4: Simplify right side
    5,906x = 82,192,356
  5. Step 5: Solve for x
    x = 82,192,356/5,906
  6. Step 6: Final answer
    x = 13,916.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.