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Finding the Third Proportional to 6,500 and 7,844

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Solution

The third proportional to 6,500 and 7,844 is: 9,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500 : 7,844 = 7,844 : x
  2. Step 2: Convert to fraction form
    6,500/7,844 = 7,844/x
  3. Step 3: Cross multiply
    6,500x = 7,844 × 7,844
  4. Step 4: Simplify right side
    6,500x = 61,528,336
  5. Step 5: Solve for x
    x = 61,528,336/6,500
  6. Step 6: Final answer
    x = 9,465.90

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.