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Finding the Third Proportional to 874.75 and 1,897.75

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Solution

The third proportional to 874.75 and 1,897.75 is: 4,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.75 : 1,897.75 = 1,897.75 : x
  2. Step 2: Convert to fraction form
    874.75/1,897.75 = 1,897.75/x
  3. Step 3: Cross multiply
    874.75x = 1,897.75 × 1,897.75
  4. Step 4: Simplify right side
    874.75x = 3,601,455.06
  5. Step 5: Solve for x
    x = 3,601,455.06/874.75
  6. Step 6: Final answer
    x = 4,117.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.