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Finding the Third Proportional to 855.38 and 1,359.94

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Solution

The third proportional to 855.38 and 1,359.94 is: 2,162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.38 : 1,359.94 = 1,359.94 : x
  2. Step 2: Convert to fraction form
    855.38/1,359.94 = 1,359.94/x
  3. Step 3: Cross multiply
    855.38x = 1,359.94 × 1,359.94
  4. Step 4: Simplify right side
    855.38x = 1,849,430.00
  5. Step 5: Solve for x
    x = 1,849,430.00/855.38
  6. Step 6: Final answer
    x = 2,162.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.