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Finding the Third Proportional to 4,885.50 and 10,705.50

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Solution

The third proportional to 4,885.50 and 10,705.50 is: 23,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.50 : 10,705.50 = 10,705.50 : x
  2. Step 2: Convert to fraction form
    4,885.50/10,705.50 = 10,705.50/x
  3. Step 3: Cross multiply
    4,885.50x = 10,705.50 × 10,705.50
  4. Step 4: Simplify right side
    4,885.50x = 114,607,730.25
  5. Step 5: Solve for x
    x = 114,607,730.25/4,885.50
  6. Step 6: Final answer
    x = 23,458.75

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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.