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Finding the Third Proportional to 1,697.63 and 4,089.23

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Solution

The third proportional to 1,697.63 and 4,089.23 is: 9,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.63 : 4,089.23 = 4,089.23 : x
  2. Step 2: Convert to fraction form
    1,697.63/4,089.23 = 4,089.23/x
  3. Step 3: Cross multiply
    1,697.63x = 4,089.23 × 4,089.23
  4. Step 4: Simplify right side
    1,697.63x = 16,721,837.77
  5. Step 5: Solve for x
    x = 16,721,837.77/1,697.63
  6. Step 6: Final answer
    x = 9,850.14

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.