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Finding the Third Proportional to 39,811.50 and 83,943

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Solution

The third proportional to 39,811.50 and 83,943 is: 176,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,811.50 : 83,943 = 83,943 : x
  2. Step 2: Convert to fraction form
    39,811.50/83,943 = 83,943/x
  3. Step 3: Cross multiply
    39,811.50x = 83,943 × 83,943
  4. Step 4: Simplify right side
    39,811.50x = 7,046,427,249
  5. Step 5: Solve for x
    x = 7,046,427,249/39,811.50
  6. Step 6: Final answer
    x = 176,994.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.