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Finding the Third Proportional to 1,714.29 and 2,409.12

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Solution

The third proportional to 1,714.29 and 2,409.12 is: 3,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.29 : 2,409.12 = 2,409.12 : x
  2. Step 2: Convert to fraction form
    1,714.29/2,409.12 = 2,409.12/x
  3. Step 3: Cross multiply
    1,714.29x = 2,409.12 × 2,409.12
  4. Step 4: Simplify right side
    1,714.29x = 5,803,845.62
  5. Step 5: Solve for x
    x = 5,803,845.62/1,714.29
  6. Step 6: Final answer
    x = 3,385.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.