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Finding the Third Proportional to 9,752.91 and 21,408.19

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Solution

The third proportional to 9,752.91 and 21,408.19 is: 46,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.91 : 21,408.19 = 21,408.19 : x
  2. Step 2: Convert to fraction form
    9,752.91/21,408.19 = 21,408.19/x
  3. Step 3: Cross multiply
    9,752.91x = 21,408.19 × 21,408.19
  4. Step 4: Simplify right side
    9,752.91x = 458,310,492.04
  5. Step 5: Solve for x
    x = 458,310,492.04/9,752.91
  6. Step 6: Final answer
    x = 46,992.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.