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Finding the Third Proportional to 6,595 and 15,569

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Solution

The third proportional to 6,595 and 15,569 is: 36,754.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595 : 15,569 = 15,569 : x
  2. Step 2: Convert to fraction form
    6,595/15,569 = 15,569/x
  3. Step 3: Cross multiply
    6,595x = 15,569 × 15,569
  4. Step 4: Simplify right side
    6,595x = 242,393,761
  5. Step 5: Solve for x
    x = 242,393,761/6,595
  6. Step 6: Final answer
    x = 36,754.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.