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Finding the Third Proportional to 12,352.50 and 19,105.88

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Solution

The third proportional to 12,352.50 and 19,105.88 is: 29,551.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.50 : 19,105.88 = 19,105.88 : x
  2. Step 2: Convert to fraction form
    12,352.50/19,105.88 = 19,105.88/x
  3. Step 3: Cross multiply
    12,352.50x = 19,105.88 × 19,105.88
  4. Step 4: Simplify right side
    12,352.50x = 365,034,459.52
  5. Step 5: Solve for x
    x = 365,034,459.52/12,352.50
  6. Step 6: Final answer
    x = 29,551.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.