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Finding the Third Proportional to 802.17 and 1,724.16

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Solution

The third proportional to 802.17 and 1,724.16 is: 3,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.17 : 1,724.16 = 1,724.16 : x
  2. Step 2: Convert to fraction form
    802.17/1,724.16 = 1,724.16/x
  3. Step 3: Cross multiply
    802.17x = 1,724.16 × 1,724.16
  4. Step 4: Simplify right side
    802.17x = 2,972,714.77
  5. Step 5: Solve for x
    x = 2,972,714.77/802.17
  6. Step 6: Final answer
    x = 3,705.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.