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Finding the Third Proportional to 14,863.50 and 35,088.19

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Solution

The third proportional to 14,863.50 and 35,088.19 is: 82,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863.50 : 35,088.19 = 35,088.19 : x
  2. Step 2: Convert to fraction form
    14,863.50/35,088.19 = 35,088.19/x
  3. Step 3: Cross multiply
    14,863.50x = 35,088.19 × 35,088.19
  4. Step 4: Simplify right side
    14,863.50x = 1,231,180,902.04
  5. Step 5: Solve for x
    x = 1,231,180,902.04/14,863.50
  6. Step 6: Final answer
    x = 82,832.50

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.