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Finding the Third Proportional to 17,583.75 and 23,864.63

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Solution

The third proportional to 17,583.75 and 23,864.63 is: 32,389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,583.75 : 23,864.63 = 23,864.63 : x
  2. Step 2: Convert to fraction form
    17,583.75/23,864.63 = 23,864.63/x
  3. Step 3: Cross multiply
    17,583.75x = 23,864.63 × 23,864.63
  4. Step 4: Simplify right side
    17,583.75x = 569,520,326.39
  5. Step 5: Solve for x
    x = 569,520,326.39/17,583.75
  6. Step 6: Final answer
    x = 32,389.01

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.