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Finding the Third Proportional to 9,693 and 21,578.06

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Solution

The third proportional to 9,693 and 21,578.06 is: 48,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693 : 21,578.06 = 21,578.06 : x
  2. Step 2: Convert to fraction form
    9,693/21,578.06 = 21,578.06/x
  3. Step 3: Cross multiply
    9,693x = 21,578.06 × 21,578.06
  4. Step 4: Simplify right side
    9,693x = 465,612,781.25
  5. Step 5: Solve for x
    x = 465,612,781.25/9,693
  6. Step 6: Final answer
    x = 48,035.98

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.