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Finding the Third Proportional to 13,738.50 and 30,116.25

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Solution

The third proportional to 13,738.50 and 30,116.25 is: 66,018.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.50 : 30,116.25 = 30,116.25 : x
  2. Step 2: Convert to fraction form
    13,738.50/30,116.25 = 30,116.25/x
  3. Step 3: Cross multiply
    13,738.50x = 30,116.25 × 30,116.25
  4. Step 4: Simplify right side
    13,738.50x = 906,988,514.06
  5. Step 5: Solve for x
    x = 906,988,514.06/13,738.50
  6. Step 6: Final answer
    x = 66,018.02

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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.