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Finding the Third Proportional to 13,840.88 and 21,016.13

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Solution

The third proportional to 13,840.88 and 21,016.13 is: 31,911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.88 : 21,016.13 = 21,016.13 : x
  2. Step 2: Convert to fraction form
    13,840.88/21,016.13 = 21,016.13/x
  3. Step 3: Cross multiply
    13,840.88x = 21,016.13 × 21,016.13
  4. Step 4: Simplify right side
    13,840.88x = 441,677,510.02
  5. Step 5: Solve for x
    x = 441,677,510.02/13,840.88
  6. Step 6: Final answer
    x = 31,911.10

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.