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Finding the Third Proportional to 13,569 and 29,586

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Solution

The third proportional to 13,569 and 29,586 is: 64,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,569 : 29,586 = 29,586 : x
  2. Step 2: Convert to fraction form
    13,569/29,586 = 29,586/x
  3. Step 3: Cross multiply
    13,569x = 29,586 × 29,586
  4. Step 4: Simplify right side
    13,569x = 875,331,396
  5. Step 5: Solve for x
    x = 875,331,396/13,569
  6. Step 6: Final answer
    x = 64,509.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.