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Finding the Third Proportional to 13,630.50 and 29,863.13

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Solution

The third proportional to 13,630.50 and 29,863.13 is: 65,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.50 : 29,863.13 = 29,863.13 : x
  2. Step 2: Convert to fraction form
    13,630.50/29,863.13 = 29,863.13/x
  3. Step 3: Cross multiply
    13,630.50x = 29,863.13 × 29,863.13
  4. Step 4: Simplify right side
    13,630.50x = 891,806,234.77
  5. Step 5: Solve for x
    x = 891,806,234.77/13,630.50
  6. Step 6: Final answer
    x = 65,427.26

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