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Finding the Third Proportional to 1,695.38 and 4,089.94

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Solution

The third proportional to 1,695.38 and 4,089.94 is: 9,866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.38 : 4,089.94 = 4,089.94 : x
  2. Step 2: Convert to fraction form
    1,695.38/4,089.94 = 4,089.94/x
  3. Step 3: Cross multiply
    1,695.38x = 4,089.94 × 4,089.94
  4. Step 4: Simplify right side
    1,695.38x = 16,727,588.75
  5. Step 5: Solve for x
    x = 16,727,588.75/1,695.38
  6. Step 6: Final answer
    x = 9,866.60

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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.