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Finding the Third Proportional to 17,964 and 27,573.75

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Solution

The third proportional to 17,964 and 27,573.75 is: 42,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,964 : 27,573.75 = 27,573.75 : x
  2. Step 2: Convert to fraction form
    17,964/27,573.75 = 27,573.75/x
  3. Step 3: Cross multiply
    17,964x = 27,573.75 × 27,573.75
  4. Step 4: Simplify right side
    17,964x = 760,311,689.06
  5. Step 5: Solve for x
    x = 760,311,689.06/17,964
  6. Step 6: Final answer
    x = 42,324.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.