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Finding the Third Proportional to 23,597.25 and 35,698.13

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Solution

The third proportional to 23,597.25 and 35,698.13 is: 54,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,597.25 : 35,698.13 = 35,698.13 : x
  2. Step 2: Convert to fraction form
    23,597.25/35,698.13 = 35,698.13/x
  3. Step 3: Cross multiply
    23,597.25x = 35,698.13 × 35,698.13
  4. Step 4: Simplify right side
    23,597.25x = 1,274,356,128.52
  5. Step 5: Solve for x
    x = 1,274,356,128.52/23,597.25
  6. Step 6: Final answer
    x = 54,004.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.