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Finding the Third Proportional to 10,063.75 and 22,119.50

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Solution

The third proportional to 10,063.75 and 22,119.50 is: 48,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,063.75 : 22,119.50 = 22,119.50 : x
  2. Step 2: Convert to fraction form
    10,063.75/22,119.50 = 22,119.50/x
  3. Step 3: Cross multiply
    10,063.75x = 22,119.50 × 22,119.50
  4. Step 4: Simplify right side
    10,063.75x = 489,272,280.25
  5. Step 5: Solve for x
    x = 489,272,280.25/10,063.75
  6. Step 6: Final answer
    x = 48,617.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.