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Finding the Third Proportional to 7,669.69 and 11,465.30

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Solution

The third proportional to 7,669.69 and 11,465.30 is: 17,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.69 : 11,465.30 = 11,465.30 : x
  2. Step 2: Convert to fraction form
    7,669.69/11,465.30 = 11,465.30/x
  3. Step 3: Cross multiply
    7,669.69x = 11,465.30 × 11,465.30
  4. Step 4: Simplify right side
    7,669.69x = 131,453,032.43
  5. Step 5: Solve for x
    x = 131,453,032.43/7,669.69
  6. Step 6: Final answer
    x = 17,139.29

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Why These Related Problems?

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