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Finding the Third Proportional to 38,166.75 and 83,623.50

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Solution

The third proportional to 38,166.75 and 83,623.50 is: 183,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,166.75 : 83,623.50 = 83,623.50 : x
  2. Step 2: Convert to fraction form
    38,166.75/83,623.50 = 83,623.50/x
  3. Step 3: Cross multiply
    38,166.75x = 83,623.50 × 83,623.50
  4. Step 4: Simplify right side
    38,166.75x = 6,992,889,752.25
  5. Step 5: Solve for x
    x = 6,992,889,752.25/38,166.75
  6. Step 6: Final answer
    x = 183,219.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.