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Finding the Third Proportional to 4,683 and 9,498

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Solution

The third proportional to 4,683 and 9,498 is: 19,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683 : 9,498 = 9,498 : x
  2. Step 2: Convert to fraction form
    4,683/9,498 = 9,498/x
  3. Step 3: Cross multiply
    4,683x = 9,498 × 9,498
  4. Step 4: Simplify right side
    4,683x = 90,212,004
  5. Step 5: Solve for x
    x = 90,212,004/4,683
  6. Step 6: Final answer
    x = 19,263.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.