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Finding the Third Proportional to 7,782 and 13,563

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Solution

The third proportional to 7,782 and 13,563 is: 23,638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782 : 13,563 = 13,563 : x
  2. Step 2: Convert to fraction form
    7,782/13,563 = 13,563/x
  3. Step 3: Cross multiply
    7,782x = 13,563 × 13,563
  4. Step 4: Simplify right side
    7,782x = 183,954,969
  5. Step 5: Solve for x
    x = 183,954,969/7,782
  6. Step 6: Final answer
    x = 23,638.52

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.