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Finding the Third Proportional to 8,454 and 9,723

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Solution

The third proportional to 8,454 and 9,723 is: 11,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454 : 9,723 = 9,723 : x
  2. Step 2: Convert to fraction form
    8,454/9,723 = 9,723/x
  3. Step 3: Cross multiply
    8,454x = 9,723 × 9,723
  4. Step 4: Simplify right side
    8,454x = 94,536,729
  5. Step 5: Solve for x
    x = 94,536,729/8,454
  6. Step 6: Final answer
    x = 11,182.49

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.