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Finding the Third Proportional to 5,897 and 12,964

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Solution

The third proportional to 5,897 and 12,964 is: 28,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897 : 12,964 = 12,964 : x
  2. Step 2: Convert to fraction form
    5,897/12,964 = 12,964/x
  3. Step 3: Cross multiply
    5,897x = 12,964 × 12,964
  4. Step 4: Simplify right side
    5,897x = 168,065,296
  5. Step 5: Solve for x
    x = 168,065,296/5,897
  6. Step 6: Final answer
    x = 28,500.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.