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Finding the Third Proportional to 19,032 and 30,309

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Solution

The third proportional to 19,032 and 30,309 is: 48,267.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,032 : 30,309 = 30,309 : x
  2. Step 2: Convert to fraction form
    19,032/30,309 = 30,309/x
  3. Step 3: Cross multiply
    19,032x = 30,309 × 30,309
  4. Step 4: Simplify right side
    19,032x = 918,635,481
  5. Step 5: Solve for x
    x = 918,635,481/19,032
  6. Step 6: Final answer
    x = 48,267.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.