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Finding the Third Proportional to 13,419 and 28,684.50

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Solution

The third proportional to 13,419 and 28,684.50 is: 61,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419 : 28,684.50 = 28,684.50 : x
  2. Step 2: Convert to fraction form
    13,419/28,684.50 = 28,684.50/x
  3. Step 3: Cross multiply
    13,419x = 28,684.50 × 28,684.50
  4. Step 4: Simplify right side
    13,419x = 822,800,540.25
  5. Step 5: Solve for x
    x = 822,800,540.25/13,419
  6. Step 6: Final answer
    x = 61,316.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.