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Finding the Third Proportional to 13,971.56 and 21,137.91

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Solution

The third proportional to 13,971.56 and 21,137.91 is: 31,980.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971.56 : 21,137.91 = 21,137.91 : x
  2. Step 2: Convert to fraction form
    13,971.56/21,137.91 = 21,137.91/x
  3. Step 3: Cross multiply
    13,971.56x = 21,137.91 × 21,137.91
  4. Step 4: Simplify right side
    13,971.56x = 446,811,080.63
  5. Step 5: Solve for x
    x = 446,811,080.63/13,971.56
  6. Step 6: Final answer
    x = 31,980.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.