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Finding the Third Proportional to 19,576 and 30,324

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Solution

The third proportional to 19,576 and 30,324 is: 46,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,576 : 30,324 = 30,324 : x
  2. Step 2: Convert to fraction form
    19,576/30,324 = 30,324/x
  3. Step 3: Cross multiply
    19,576x = 30,324 × 30,324
  4. Step 4: Simplify right side
    19,576x = 919,544,976
  5. Step 5: Solve for x
    x = 919,544,976/19,576
  6. Step 6: Final answer
    x = 46,973.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.