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Finding the Third Proportional to 4,025.81 and 8,492.06

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Solution

The third proportional to 4,025.81 and 8,492.06 is: 17,913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,025.81 : 8,492.06 = 8,492.06 : x
  2. Step 2: Convert to fraction form
    4,025.81/8,492.06 = 8,492.06/x
  3. Step 3: Cross multiply
    4,025.81x = 8,492.06 × 8,492.06
  4. Step 4: Simplify right side
    4,025.81x = 72,115,125.50
  5. Step 5: Solve for x
    x = 72,115,125.50/4,025.81
  6. Step 6: Final answer
    x = 17,913.19

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.