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Finding the Third Proportional to 30,002 and 65,294

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Solution

The third proportional to 30,002 and 65,294 is: 142,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,002 : 65,294 = 65,294 : x
  2. Step 2: Convert to fraction form
    30,002/65,294 = 65,294/x
  3. Step 3: Cross multiply
    30,002x = 65,294 × 65,294
  4. Step 4: Simplify right side
    30,002x = 4,263,306,436
  5. Step 5: Solve for x
    x = 4,263,306,436/30,002
  6. Step 6: Final answer
    x = 142,100.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.