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Finding the Third Proportional to 10,276.50 and 22,112.63

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Solution

The third proportional to 10,276.50 and 22,112.63 is: 47,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276.50 : 22,112.63 = 22,112.63 : x
  2. Step 2: Convert to fraction form
    10,276.50/22,112.63 = 22,112.63/x
  3. Step 3: Cross multiply
    10,276.50x = 22,112.63 × 22,112.63
  4. Step 4: Simplify right side
    10,276.50x = 488,968,184.39
  5. Step 5: Solve for x
    x = 488,968,184.39/10,276.50
  6. Step 6: Final answer
    x = 47,581.20

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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.