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Finding the Third Proportional to 5,999.06 and 9,492.19

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Solution

The third proportional to 5,999.06 and 9,492.19 is: 15,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.06 : 9,492.19 = 9,492.19 : x
  2. Step 2: Convert to fraction form
    5,999.06/9,492.19 = 9,492.19/x
  3. Step 3: Cross multiply
    5,999.06x = 9,492.19 × 9,492.19
  4. Step 4: Simplify right side
    5,999.06x = 90,101,623.54
  5. Step 5: Solve for x
    x = 90,101,623.54/5,999.06
  6. Step 6: Final answer
    x = 15,019.28

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.