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Finding the Third Proportional to 10,863 and 23,407.50

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Solution

The third proportional to 10,863 and 23,407.50 is: 50,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863 : 23,407.50 = 23,407.50 : x
  2. Step 2: Convert to fraction form
    10,863/23,407.50 = 23,407.50/x
  3. Step 3: Cross multiply
    10,863x = 23,407.50 × 23,407.50
  4. Step 4: Simplify right side
    10,863x = 547,911,056.25
  5. Step 5: Solve for x
    x = 547,911,056.25/10,863
  6. Step 6: Final answer
    x = 50,438.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.