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Finding the Third Proportional to 6,438 and 13,567.88

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Solution

The third proportional to 6,438 and 13,567.88 is: 28,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438 : 13,567.88 = 13,567.88 : x
  2. Step 2: Convert to fraction form
    6,438/13,567.88 = 13,567.88/x
  3. Step 3: Cross multiply
    6,438x = 13,567.88 × 13,567.88
  4. Step 4: Simplify right side
    6,438x = 184,087,232.02
  5. Step 5: Solve for x
    x = 184,087,232.02/6,438
  6. Step 6: Final answer
    x = 28,593.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.