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Finding the Third Proportional to 8,823.94 and 12,954.94

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Solution

The third proportional to 8,823.94 and 12,954.94 is: 19,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.94 : 12,954.94 = 12,954.94 : x
  2. Step 2: Convert to fraction form
    8,823.94/12,954.94 = 12,954.94/x
  3. Step 3: Cross multiply
    8,823.94x = 12,954.94 × 12,954.94
  4. Step 4: Simplify right side
    8,823.94x = 167,830,405.63
  5. Step 5: Solve for x
    x = 167,830,405.63/8,823.94
  6. Step 6: Final answer
    x = 19,019.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.