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Finding the Third Proportional to 13,721.06 and 20,058.47

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Solution

The third proportional to 13,721.06 and 20,058.47 is: 29,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,721.06 : 20,058.47 = 20,058.47 : x
  2. Step 2: Convert to fraction form
    13,721.06/20,058.47 = 20,058.47/x
  3. Step 3: Cross multiply
    13,721.06x = 20,058.47 × 20,058.47
  4. Step 4: Simplify right side
    13,721.06x = 402,342,168.59
  5. Step 5: Solve for x
    x = 402,342,168.59/13,721.06
  6. Step 6: Final answer
    x = 29,322.96

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.