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Finding the Third Proportional to 6,870.94 and 14,972.06

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Solution

The third proportional to 6,870.94 and 14,972.06 is: 32,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.94 : 14,972.06 = 14,972.06 : x
  2. Step 2: Convert to fraction form
    6,870.94/14,972.06 = 14,972.06/x
  3. Step 3: Cross multiply
    6,870.94x = 14,972.06 × 14,972.06
  4. Step 4: Simplify right side
    6,870.94x = 224,162,655.50
  5. Step 5: Solve for x
    x = 224,162,655.50/6,870.94
  6. Step 6: Final answer
    x = 32,624.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.