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Finding the Third Proportional to 867.59 and 1,869.96

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Solution

The third proportional to 867.59 and 1,869.96 is: 4,030.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.59 : 1,869.96 = 1,869.96 : x
  2. Step 2: Convert to fraction form
    867.59/1,869.96 = 1,869.96/x
  3. Step 3: Cross multiply
    867.59x = 1,869.96 × 1,869.96
  4. Step 4: Simplify right side
    867.59x = 3,496,753.91
  5. Step 5: Solve for x
    x = 3,496,753.91/867.59
  6. Step 6: Final answer
    x = 4,030.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.