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Finding the Third Proportional to 13,677 and 29,884.50

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Solution

The third proportional to 13,677 and 29,884.50 is: 65,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677 : 29,884.50 = 29,884.50 : x
  2. Step 2: Convert to fraction form
    13,677/29,884.50 = 29,884.50/x
  3. Step 3: Cross multiply
    13,677x = 29,884.50 × 29,884.50
  4. Step 4: Simplify right side
    13,677x = 893,083,340.25
  5. Step 5: Solve for x
    x = 893,083,340.25/13,677
  6. Step 6: Final answer
    x = 65,298.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.