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Finding the Third Proportional to 6,492.38 and 14,199.75

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Solution

The third proportional to 6,492.38 and 14,199.75 is: 31,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.38 : 14,199.75 = 14,199.75 : x
  2. Step 2: Convert to fraction form
    6,492.38/14,199.75 = 14,199.75/x
  3. Step 3: Cross multiply
    6,492.38x = 14,199.75 × 14,199.75
  4. Step 4: Simplify right side
    6,492.38x = 201,632,900.06
  5. Step 5: Solve for x
    x = 201,632,900.06/6,492.38
  6. Step 6: Final answer
    x = 31,056.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.