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Finding the Third Proportional to 38,330.50 and 83,786

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Solution

The third proportional to 38,330.50 and 83,786 is: 183,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,330.50 : 83,786 = 83,786 : x
  2. Step 2: Convert to fraction form
    38,330.50/83,786 = 83,786/x
  3. Step 3: Cross multiply
    38,330.50x = 83,786 × 83,786
  4. Step 4: Simplify right side
    38,330.50x = 7,020,093,796
  5. Step 5: Solve for x
    x = 7,020,093,796/38,330.50
  6. Step 6: Final answer
    x = 183,146.42

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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.