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Finding the Third Proportional to 17,182.76 and 23,564.36

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Solution

The third proportional to 17,182.76 and 23,564.36 is: 32,316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182.76 : 23,564.36 = 23,564.36 : x
  2. Step 2: Convert to fraction form
    17,182.76/23,564.36 = 23,564.36/x
  3. Step 3: Cross multiply
    17,182.76x = 23,564.36 × 23,564.36
  4. Step 4: Simplify right side
    17,182.76x = 555,278,848.66
  5. Step 5: Solve for x
    x = 555,278,848.66/17,182.76
  6. Step 6: Final answer
    x = 32,316.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.