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Finding the Third Proportional to 17,602.31 and 23,252.06

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Solution

The third proportional to 17,602.31 and 23,252.06 is: 30,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,602.31 : 23,252.06 = 23,252.06 : x
  2. Step 2: Convert to fraction form
    17,602.31/23,252.06 = 23,252.06/x
  3. Step 3: Cross multiply
    17,602.31x = 23,252.06 × 23,252.06
  4. Step 4: Simplify right side
    17,602.31x = 540,658,410.50
  5. Step 5: Solve for x
    x = 540,658,410.50/17,602.31
  6. Step 6: Final answer
    x = 30,715.19

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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.