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Finding the Third Proportional to 12,363.50 and 19,656.50

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Solution

The third proportional to 12,363.50 and 19,656.50 is: 31,251.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,363.50 : 19,656.50 = 19,656.50 : x
  2. Step 2: Convert to fraction form
    12,363.50/19,656.50 = 19,656.50/x
  3. Step 3: Cross multiply
    12,363.50x = 19,656.50 × 19,656.50
  4. Step 4: Simplify right side
    12,363.50x = 386,377,992.25
  5. Step 5: Solve for x
    x = 386,377,992.25/12,363.50
  6. Step 6: Final answer
    x = 31,251.51

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.