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Finding the Third Proportional to 22,347 and 30,783

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Solution

The third proportional to 22,347 and 30,783 is: 42,403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,347 : 30,783 = 30,783 : x
  2. Step 2: Convert to fraction form
    22,347/30,783 = 30,783/x
  3. Step 3: Cross multiply
    22,347x = 30,783 × 30,783
  4. Step 4: Simplify right side
    22,347x = 947,593,089
  5. Step 5: Solve for x
    x = 947,593,089/22,347
  6. Step 6: Final answer
    x = 42,403.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.