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Finding the Third Proportional to 910.41 and 2,005.17

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Solution

The third proportional to 910.41 and 2,005.17 is: 4,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.41 : 2,005.17 = 2,005.17 : x
  2. Step 2: Convert to fraction form
    910.41/2,005.17 = 2,005.17/x
  3. Step 3: Cross multiply
    910.41x = 2,005.17 × 2,005.17
  4. Step 4: Simplify right side
    910.41x = 4,020,714.25
  5. Step 5: Solve for x
    x = 4,020,714.25/910.41
  6. Step 6: Final answer
    x = 4,416.40

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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.