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Finding the Third Proportional to 9,158.06 and 13,734.56

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Solution

The third proportional to 9,158.06 and 13,734.56 is: 20,598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.06 : 13,734.56 = 13,734.56 : x
  2. Step 2: Convert to fraction form
    9,158.06/13,734.56 = 13,734.56/x
  3. Step 3: Cross multiply
    9,158.06x = 13,734.56 × 13,734.56
  4. Step 4: Simplify right side
    9,158.06x = 188,638,207.07
  5. Step 5: Solve for x
    x = 188,638,207.07/9,158.06
  6. Step 6: Final answer
    x = 20,598.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.