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Finding the Third Proportional to 38,537.02 and 84,059.02

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Solution

The third proportional to 38,537.02 and 84,059.02 is: 183,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,537.02 : 84,059.02 = 84,059.02 : x
  2. Step 2: Convert to fraction form
    38,537.02/84,059.02 = 84,059.02/x
  3. Step 3: Cross multiply
    38,537.02x = 84,059.02 × 84,059.02
  4. Step 4: Simplify right side
    38,537.02x = 7,065,918,107.84
  5. Step 5: Solve for x
    x = 7,065,918,107.84/38,537.02
  6. Step 6: Final answer
    x = 183,354.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.