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Finding the Third Proportional to 38,216.81 and 81,075.94

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Solution

The third proportional to 38,216.81 and 81,075.94 is: 172,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,216.81 : 81,075.94 = 81,075.94 : x
  2. Step 2: Convert to fraction form
    38,216.81/81,075.94 = 81,075.94/x
  3. Step 3: Cross multiply
    38,216.81x = 81,075.94 × 81,075.94
  4. Step 4: Simplify right side
    38,216.81x = 6,573,307,641.50
  5. Step 5: Solve for x
    x = 6,573,307,641.50/38,216.81
  6. Step 6: Final answer
    x = 172,000.42

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.