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Finding the Third Proportional to 6,973.31 and 9,981.56

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Solution

The third proportional to 6,973.31 and 9,981.56 is: 14,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.31 : 9,981.56 = 9,981.56 : x
  2. Step 2: Convert to fraction form
    6,973.31/9,981.56 = 9,981.56/x
  3. Step 3: Cross multiply
    6,973.31x = 9,981.56 × 9,981.56
  4. Step 4: Simplify right side
    6,973.31x = 99,631,589.94
  5. Step 5: Solve for x
    x = 99,631,589.94/6,973.31
  6. Step 6: Final answer
    x = 14,287.56

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.