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Finding the Third Proportional to 7,669.69 and 12,032.30

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Solution

The third proportional to 7,669.69 and 12,032.30 is: 18,876.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.69 : 12,032.30 = 12,032.30 : x
  2. Step 2: Convert to fraction form
    7,669.69/12,032.30 = 12,032.30/x
  3. Step 3: Cross multiply
    7,669.69x = 12,032.30 × 12,032.30
  4. Step 4: Simplify right side
    7,669.69x = 144,776,168.09
  5. Step 5: Solve for x
    x = 144,776,168.09/7,669.69
  6. Step 6: Final answer
    x = 18,876.41

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.