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Finding the Third Proportional to 19,032 and 39,276

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Solution

The third proportional to 19,032 and 39,276 is: 81,053.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,032 : 39,276 = 39,276 : x
  2. Step 2: Convert to fraction form
    19,032/39,276 = 39,276/x
  3. Step 3: Cross multiply
    19,032x = 39,276 × 39,276
  4. Step 4: Simplify right side
    19,032x = 1,542,604,176
  5. Step 5: Solve for x
    x = 1,542,604,176/19,032
  6. Step 6: Final answer
    x = 81,053.18

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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.