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Finding the Third Proportional to 7,551.98 and 11,669.70

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Solution

The third proportional to 7,551.98 and 11,669.70 is: 18,032.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.98 : 11,669.70 = 11,669.70 : x
  2. Step 2: Convert to fraction form
    7,551.98/11,669.70 = 11,669.70/x
  3. Step 3: Cross multiply
    7,551.98x = 11,669.70 × 11,669.70
  4. Step 4: Simplify right side
    7,551.98x = 136,181,788.69
  5. Step 5: Solve for x
    x = 136,181,788.69/7,551.98
  6. Step 6: Final answer
    x = 18,032.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.