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Finding the Third Proportional to 30,895 and 67,453

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Solution

The third proportional to 30,895 and 67,453 is: 147,270.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,895 : 67,453 = 67,453 : x
  2. Step 2: Convert to fraction form
    30,895/67,453 = 67,453/x
  3. Step 3: Cross multiply
    30,895x = 67,453 × 67,453
  4. Step 4: Simplify right side
    30,895x = 4,549,907,209
  5. Step 5: Solve for x
    x = 4,549,907,209/30,895
  6. Step 6: Final answer
    x = 147,270.02

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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.