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Finding the Third Proportional to 12,124.69 and 18,106.03

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Solution

The third proportional to 12,124.69 and 18,106.03 is: 27,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.69 : 18,106.03 = 18,106.03 : x
  2. Step 2: Convert to fraction form
    12,124.69/18,106.03 = 18,106.03/x
  3. Step 3: Cross multiply
    12,124.69x = 18,106.03 × 18,106.03
  4. Step 4: Simplify right side
    12,124.69x = 327,828,367.63
  5. Step 5: Solve for x
    x = 327,828,367.63/12,124.69
  6. Step 6: Final answer
    x = 27,038.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.