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Finding the Third Proportional to 1,697.20 and 2,636.93

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Solution

The third proportional to 1,697.20 and 2,636.93 is: 4,096.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.20 : 2,636.93 = 2,636.93 : x
  2. Step 2: Convert to fraction form
    1,697.20/2,636.93 = 2,636.93/x
  3. Step 3: Cross multiply
    1,697.20x = 2,636.93 × 2,636.93
  4. Step 4: Simplify right side
    1,697.20x = 6,953,398.18
  5. Step 5: Solve for x
    x = 6,953,398.18/1,697.20
  6. Step 6: Final answer
    x = 4,096.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.