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Finding the Third Proportional to 8,078 and 19,737

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Solution

The third proportional to 8,078 and 19,737 is: 48,223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078 : 19,737 = 19,737 : x
  2. Step 2: Convert to fraction form
    8,078/19,737 = 19,737/x
  3. Step 3: Cross multiply
    8,078x = 19,737 × 19,737
  4. Step 4: Simplify right side
    8,078x = 389,549,169
  5. Step 5: Solve for x
    x = 389,549,169/8,078
  6. Step 6: Final answer
    x = 48,223.47

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.