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Finding the Third Proportional to 12,364.50 and 19,129.50

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Solution

The third proportional to 12,364.50 and 19,129.50 is: 29,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.50 : 19,129.50 = 19,129.50 : x
  2. Step 2: Convert to fraction form
    12,364.50/19,129.50 = 19,129.50/x
  3. Step 3: Cross multiply
    12,364.50x = 19,129.50 × 19,129.50
  4. Step 4: Simplify right side
    12,364.50x = 365,937,770.25
  5. Step 5: Solve for x
    x = 365,937,770.25/12,364.50
  6. Step 6: Final answer
    x = 29,595.84

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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.