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Finding the Third Proportional to 13,565 and 21,578

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Solution

The third proportional to 13,565 and 21,578 is: 34,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565 : 21,578 = 21,578 : x
  2. Step 2: Convert to fraction form
    13,565/21,578 = 21,578/x
  3. Step 3: Cross multiply
    13,565x = 21,578 × 21,578
  4. Step 4: Simplify right side
    13,565x = 465,610,084
  5. Step 5: Solve for x
    x = 465,610,084/13,565
  6. Step 6: Final answer
    x = 34,324.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.