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Finding the Third Proportional to 12,911.50 and 19,988.50

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Solution

The third proportional to 12,911.50 and 19,988.50 is: 30,944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.50 : 19,988.50 = 19,988.50 : x
  2. Step 2: Convert to fraction form
    12,911.50/19,988.50 = 19,988.50/x
  3. Step 3: Cross multiply
    12,911.50x = 19,988.50 × 19,988.50
  4. Step 4: Simplify right side
    12,911.50x = 399,540,132.25
  5. Step 5: Solve for x
    x = 399,540,132.25/12,911.50
  6. Step 6: Final answer
    x = 30,944.52

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