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Finding the Third Proportional to 30,224 and 65,306

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Solution

The third proportional to 30,224 and 65,306 is: 141,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224 : 65,306 = 65,306 : x
  2. Step 2: Convert to fraction form
    30,224/65,306 = 65,306/x
  3. Step 3: Cross multiply
    30,224x = 65,306 × 65,306
  4. Step 4: Simplify right side
    30,224x = 4,264,873,636
  5. Step 5: Solve for x
    x = 4,264,873,636/30,224
  6. Step 6: Final answer
    x = 141,108.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.