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Finding the Third Proportional to 2,291.75 and 4,705

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Solution

The third proportional to 2,291.75 and 4,705 is: 9,659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.75 : 4,705 = 4,705 : x
  2. Step 2: Convert to fraction form
    2,291.75/4,705 = 4,705/x
  3. Step 3: Cross multiply
    2,291.75x = 4,705 × 4,705
  4. Step 4: Simplify right side
    2,291.75x = 22,137,025
  5. Step 5: Solve for x
    x = 22,137,025/2,291.75
  6. Step 6: Final answer
    x = 9,659.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.