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Finding the Third Proportional to 9,649.13 and 23,322.94

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Solution

The third proportional to 9,649.13 and 23,322.94 is: 56,373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.13 : 23,322.94 = 23,322.94 : x
  2. Step 2: Convert to fraction form
    9,649.13/23,322.94 = 23,322.94/x
  3. Step 3: Cross multiply
    9,649.13x = 23,322.94 × 23,322.94
  4. Step 4: Simplify right side
    9,649.13x = 543,959,413.63
  5. Step 5: Solve for x
    x = 543,959,413.63/9,649.13
  6. Step 6: Final answer
    x = 56,373.96

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.