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Finding the Third Proportional to 13,655 and 28,684

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Solution

The third proportional to 13,655 and 28,684 is: 60,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,655 : 28,684 = 28,684 : x
  2. Step 2: Convert to fraction form
    13,655/28,684 = 28,684/x
  3. Step 3: Cross multiply
    13,655x = 28,684 × 28,684
  4. Step 4: Simplify right side
    13,655x = 822,771,856
  5. Step 5: Solve for x
    x = 822,771,856/13,655
  6. Step 6: Final answer
    x = 60,254.26

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.