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Finding the Third Proportional to 19,548 and 46,099

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Solution

The third proportional to 19,548 and 46,099 is: 108,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,548 : 46,099 = 46,099 : x
  2. Step 2: Convert to fraction form
    19,548/46,099 = 46,099/x
  3. Step 3: Cross multiply
    19,548x = 46,099 × 46,099
  4. Step 4: Simplify right side
    19,548x = 2,125,117,801
  5. Step 5: Solve for x
    x = 2,125,117,801/19,548
  6. Step 6: Final answer
    x = 108,712.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.