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Finding the Third Proportional to 7,690.50 and 19,071

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Solution

The third proportional to 7,690.50 and 19,071 is: 47,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.50 : 19,071 = 19,071 : x
  2. Step 2: Convert to fraction form
    7,690.50/19,071 = 19,071/x
  3. Step 3: Cross multiply
    7,690.50x = 19,071 × 19,071
  4. Step 4: Simplify right side
    7,690.50x = 363,703,041
  5. Step 5: Solve for x
    x = 363,703,041/7,690.50
  6. Step 6: Final answer
    x = 47,292.51

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.