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Finding the Third Proportional to 38,354.63 and 82,040.06

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Solution

The third proportional to 38,354.63 and 82,040.06 is: 175,482.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,354.63 : 82,040.06 = 82,040.06 : x
  2. Step 2: Convert to fraction form
    38,354.63/82,040.06 = 82,040.06/x
  3. Step 3: Cross multiply
    38,354.63x = 82,040.06 × 82,040.06
  4. Step 4: Simplify right side
    38,354.63x = 6,730,571,855.00
  5. Step 5: Solve for x
    x = 6,730,571,855.00/38,354.63
  6. Step 6: Final answer
    x = 175,482.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.