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Finding the Third Proportional to 6,498 and 9,723

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Solution

The third proportional to 6,498 and 9,723 is: 14,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498 : 9,723 = 9,723 : x
  2. Step 2: Convert to fraction form
    6,498/9,723 = 9,723/x
  3. Step 3: Cross multiply
    6,498x = 9,723 × 9,723
  4. Step 4: Simplify right side
    6,498x = 94,536,729
  5. Step 5: Solve for x
    x = 94,536,729/6,498
  6. Step 6: Final answer
    x = 14,548.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.