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Finding the Third Proportional to 7,972.88 and 16,810.31

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Solution

The third proportional to 7,972.88 and 16,810.31 is: 35,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.88 : 16,810.31 = 16,810.31 : x
  2. Step 2: Convert to fraction form
    7,972.88/16,810.31 = 16,810.31/x
  3. Step 3: Cross multiply
    7,972.88x = 16,810.31 × 16,810.31
  4. Step 4: Simplify right side
    7,972.88x = 282,586,606.35
  5. Step 5: Solve for x
    x = 282,586,606.35/7,972.88
  6. Step 6: Final answer
    x = 35,443.50

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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.