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Finding the Third Proportional to 6,477 and 13,897.50

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Solution

The third proportional to 6,477 and 13,897.50 is: 29,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477 : 13,897.50 = 13,897.50 : x
  2. Step 2: Convert to fraction form
    6,477/13,897.50 = 13,897.50/x
  3. Step 3: Cross multiply
    6,477x = 13,897.50 × 13,897.50
  4. Step 4: Simplify right side
    6,477x = 193,140,506.25
  5. Step 5: Solve for x
    x = 193,140,506.25/6,477
  6. Step 6: Final answer
    x = 29,819.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.