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Finding the Third Proportional to 19,292.50 and 39,737

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Solution

The third proportional to 19,292.50 and 39,737 is: 81,846.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,292.50 : 39,737 = 39,737 : x
  2. Step 2: Convert to fraction form
    19,292.50/39,737 = 39,737/x
  3. Step 3: Cross multiply
    19,292.50x = 39,737 × 39,737
  4. Step 4: Simplify right side
    19,292.50x = 1,579,029,169
  5. Step 5: Solve for x
    x = 1,579,029,169/19,292.50
  6. Step 6: Final answer
    x = 81,846.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.