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Finding the Third Proportional to 35,480 and 84,380

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Solution

The third proportional to 35,480 and 84,380 is: 200,676.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,480 : 84,380 = 84,380 : x
  2. Step 2: Convert to fraction form
    35,480/84,380 = 84,380/x
  3. Step 3: Cross multiply
    35,480x = 84,380 × 84,380
  4. Step 4: Simplify right side
    35,480x = 7,119,984,400
  5. Step 5: Solve for x
    x = 7,119,984,400/35,480
  6. Step 6: Final answer
    x = 200,676.00

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.