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Finding the Third Proportional to 10,427.63 and 22,933.13

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Solution

The third proportional to 10,427.63 and 22,933.13 is: 50,436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.63 : 22,933.13 = 22,933.13 : x
  2. Step 2: Convert to fraction form
    10,427.63/22,933.13 = 22,933.13/x
  3. Step 3: Cross multiply
    10,427.63x = 22,933.13 × 22,933.13
  4. Step 4: Simplify right side
    10,427.63x = 525,928,222.27
  5. Step 5: Solve for x
    x = 525,928,222.27/10,427.63
  6. Step 6: Final answer
    x = 50,436.05

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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.