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Finding the Third Proportional to 7,563 and 8,283

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Solution

The third proportional to 7,563 and 8,283 is: 9,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563 : 8,283 = 8,283 : x
  2. Step 2: Convert to fraction form
    7,563/8,283 = 8,283/x
  3. Step 3: Cross multiply
    7,563x = 8,283 × 8,283
  4. Step 4: Simplify right side
    7,563x = 68,608,089
  5. Step 5: Solve for x
    x = 68,608,089/7,563
  6. Step 6: Final answer
    x = 9,071.54

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.