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Finding the Third Proportional to 1,897 and 2,113

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Solution

The third proportional to 1,897 and 2,113 is: 2,353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897 : 2,113 = 2,113 : x
  2. Step 2: Convert to fraction form
    1,897/2,113 = 2,113/x
  3. Step 3: Cross multiply
    1,897x = 2,113 × 2,113
  4. Step 4: Simplify right side
    1,897x = 4,464,769
  5. Step 5: Solve for x
    x = 4,464,769/1,897
  6. Step 6: Final answer
    x = 2,353.59

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.