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Finding the Third Proportional to 6,485 and 9,913

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Solution

The third proportional to 6,485 and 9,913 is: 15,153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485 : 9,913 = 9,913 : x
  2. Step 2: Convert to fraction form
    6,485/9,913 = 9,913/x
  3. Step 3: Cross multiply
    6,485x = 9,913 × 9,913
  4. Step 4: Simplify right side
    6,485x = 98,267,569
  5. Step 5: Solve for x
    x = 98,267,569/6,485
  6. Step 6: Final answer
    x = 15,153.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.