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Finding the Third Proportional to 38,842.03 and 81,870.12

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Solution

The third proportional to 38,842.03 and 81,870.12 is: 172,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,842.03 : 81,870.12 = 81,870.12 : x
  2. Step 2: Convert to fraction form
    38,842.03/81,870.12 = 81,870.12/x
  3. Step 3: Cross multiply
    38,842.03x = 81,870.12 × 81,870.12
  4. Step 4: Simplify right side
    38,842.03x = 6,702,716,088.29
  5. Step 5: Solve for x
    x = 6,702,716,088.29/38,842.03
  6. Step 6: Final answer
    x = 172,563.48

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