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Finding the Third Proportional to 17,897.63 and 23,540.63

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Solution

The third proportional to 17,897.63 and 23,540.63 is: 30,962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897.63 : 23,540.63 = 23,540.63 : x
  2. Step 2: Convert to fraction form
    17,897.63/23,540.63 = 23,540.63/x
  3. Step 3: Cross multiply
    17,897.63x = 23,540.63 × 23,540.63
  4. Step 4: Simplify right side
    17,897.63x = 554,161,025.39
  5. Step 5: Solve for x
    x = 554,161,025.39/17,897.63
  6. Step 6: Final answer
    x = 30,962.82

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.