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Finding the Third Proportional to 10,256.63 and 23,322.94

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Solution

The third proportional to 10,256.63 and 23,322.94 is: 53,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.63 : 23,322.94 = 23,322.94 : x
  2. Step 2: Convert to fraction form
    10,256.63/23,322.94 = 23,322.94/x
  3. Step 3: Cross multiply
    10,256.63x = 23,322.94 × 23,322.94
  4. Step 4: Simplify right side
    10,256.63x = 543,959,413.63
  5. Step 5: Solve for x
    x = 543,959,413.63/10,256.63
  6. Step 6: Final answer
    x = 53,034.93

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.