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Finding the Third Proportional to 19,652 and 30,430

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Solution

The third proportional to 19,652 and 30,430 is: 47,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,652 : 30,430 = 30,430 : x
  2. Step 2: Convert to fraction form
    19,652/30,430 = 30,430/x
  3. Step 3: Cross multiply
    19,652x = 30,430 × 30,430
  4. Step 4: Simplify right side
    19,652x = 925,984,900
  5. Step 5: Solve for x
    x = 925,984,900/19,652
  6. Step 6: Final answer
    x = 47,119.12

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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.