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Finding the Third Proportional to 12,697.50 and 19,209

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Solution

The third proportional to 12,697.50 and 19,209 is: 29,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.50 : 19,209 = 19,209 : x
  2. Step 2: Convert to fraction form
    12,697.50/19,209 = 19,209/x
  3. Step 3: Cross multiply
    12,697.50x = 19,209 × 19,209
  4. Step 4: Simplify right side
    12,697.50x = 368,985,681
  5. Step 5: Solve for x
    x = 368,985,681/12,697.50
  6. Step 6: Final answer
    x = 29,059.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.