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Finding the Third Proportional to 9,044 and 13,402

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Solution

The third proportional to 9,044 and 13,402 is: 19,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,044 : 13,402 = 13,402 : x
  2. Step 2: Convert to fraction form
    9,044/13,402 = 13,402/x
  3. Step 3: Cross multiply
    9,044x = 13,402 × 13,402
  4. Step 4: Simplify right side
    9,044x = 179,613,604
  5. Step 5: Solve for x
    x = 179,613,604/9,044
  6. Step 6: Final answer
    x = 19,859.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.