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Finding the Third Proportional to 867.80 and 1,898.86

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Solution

The third proportional to 867.80 and 1,898.86 is: 4,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.80 : 1,898.86 = 1,898.86 : x
  2. Step 2: Convert to fraction form
    867.80/1,898.86 = 1,898.86/x
  3. Step 3: Cross multiply
    867.80x = 1,898.86 × 1,898.86
  4. Step 4: Simplify right side
    867.80x = 3,605,666.93
  5. Step 5: Solve for x
    x = 3,605,666.93/867.80
  6. Step 6: Final answer
    x = 4,154.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.