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Finding the Third Proportional to 13,837.78 and 21,485.67

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Solution

The third proportional to 13,837.78 and 21,485.67 is: 33,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837.78 : 21,485.67 = 21,485.67 : x
  2. Step 2: Convert to fraction form
    13,837.78/21,485.67 = 21,485.67/x
  3. Step 3: Cross multiply
    13,837.78x = 21,485.67 × 21,485.67
  4. Step 4: Simplify right side
    13,837.78x = 461,634,095.92
  5. Step 5: Solve for x
    x = 461,634,095.92/13,837.78
  6. Step 6: Final answer
    x = 33,360.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.