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Finding the Third Proportional to 5,837.06 and 8,927.72

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Solution

The third proportional to 5,837.06 and 8,927.72 is: 13,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.06 : 8,927.72 = 8,927.72 : x
  2. Step 2: Convert to fraction form
    5,837.06/8,927.72 = 8,927.72/x
  3. Step 3: Cross multiply
    5,837.06x = 8,927.72 × 8,927.72
  4. Step 4: Simplify right side
    5,837.06x = 79,704,162.08
  5. Step 5: Solve for x
    x = 79,704,162.08/5,837.06
  6. Step 6: Final answer
    x = 13,654.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.