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Finding the Third Proportional to 4,683 and 9,915

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Solution

The third proportional to 4,683 and 9,915 is: 20,992.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683 : 9,915 = 9,915 : x
  2. Step 2: Convert to fraction form
    4,683/9,915 = 9,915/x
  3. Step 3: Cross multiply
    4,683x = 9,915 × 9,915
  4. Step 4: Simplify right side
    4,683x = 98,307,225
  5. Step 5: Solve for x
    x = 98,307,225/4,683
  6. Step 6: Final answer
    x = 20,992.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.