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Finding the Third Proportional to 39,673 and 83,434

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Solution

The third proportional to 39,673 and 83,434 is: 175,465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,673 : 83,434 = 83,434 : x
  2. Step 2: Convert to fraction form
    39,673/83,434 = 83,434/x
  3. Step 3: Cross multiply
    39,673x = 83,434 × 83,434
  4. Step 4: Simplify right side
    39,673x = 6,961,232,356
  5. Step 5: Solve for x
    x = 6,961,232,356/39,673
  6. Step 6: Final answer
    x = 175,465.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.