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Finding the Third Proportional to 4,210.25 and 8,843.50

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Solution

The third proportional to 4,210.25 and 8,843.50 is: 18,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.25 : 8,843.50 = 8,843.50 : x
  2. Step 2: Convert to fraction form
    4,210.25/8,843.50 = 8,843.50/x
  3. Step 3: Cross multiply
    4,210.25x = 8,843.50 × 8,843.50
  4. Step 4: Simplify right side
    4,210.25x = 78,207,492.25
  5. Step 5: Solve for x
    x = 78,207,492.25/4,210.25
  6. Step 6: Final answer
    x = 18,575.50

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.