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Finding the Third Proportional to 2,408.91 and 4,746.94

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Solution

The third proportional to 2,408.91 and 4,746.94 is: 9,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.91 : 4,746.94 = 4,746.94 : x
  2. Step 2: Convert to fraction form
    2,408.91/4,746.94 = 4,746.94/x
  3. Step 3: Cross multiply
    2,408.91x = 4,746.94 × 4,746.94
  4. Step 4: Simplify right side
    2,408.91x = 22,533,415.63
  5. Step 5: Solve for x
    x = 22,533,415.63/2,408.91
  6. Step 6: Final answer
    x = 9,354.21

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.