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Finding the Third Proportional to 5,985.56 and 10,832.06

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Solution

The third proportional to 5,985.56 and 10,832.06 is: 19,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.56 : 10,832.06 = 10,832.06 : x
  2. Step 2: Convert to fraction form
    5,985.56/10,832.06 = 10,832.06/x
  3. Step 3: Cross multiply
    5,985.56x = 10,832.06 × 10,832.06
  4. Step 4: Simplify right side
    5,985.56x = 117,333,578.00
  5. Step 5: Solve for x
    x = 117,333,578.00/5,985.56
  6. Step 6: Final answer
    x = 19,602.77

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These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.