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Finding the Third Proportional to 17,307 and 27,870.75

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Solution

The third proportional to 17,307 and 27,870.75 is: 44,882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,307 : 27,870.75 = 27,870.75 : x
  2. Step 2: Convert to fraction form
    17,307/27,870.75 = 27,870.75/x
  3. Step 3: Cross multiply
    17,307x = 27,870.75 × 27,870.75
  4. Step 4: Simplify right side
    17,307x = 776,778,705.56
  5. Step 5: Solve for x
    x = 776,778,705.56/17,307
  6. Step 6: Final answer
    x = 44,882.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.