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Finding the Third Proportional to 8,429.06 and 12,795.47

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Solution

The third proportional to 8,429.06 and 12,795.47 is: 19,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.06 : 12,795.47 = 12,795.47 : x
  2. Step 2: Convert to fraction form
    8,429.06/12,795.47 = 12,795.47/x
  3. Step 3: Cross multiply
    8,429.06x = 12,795.47 × 12,795.47
  4. Step 4: Simplify right side
    8,429.06x = 163,724,020.53
  5. Step 5: Solve for x
    x = 163,724,020.53/8,429.06
  6. Step 6: Final answer
    x = 19,423.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.