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Finding the Third Proportional to 7,376.63 and 11,698.45

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Solution

The third proportional to 7,376.63 and 11,698.45 is: 18,552.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,376.63 : 11,698.45 = 11,698.45 : x
  2. Step 2: Convert to fraction form
    7,376.63/11,698.45 = 11,698.45/x
  3. Step 3: Cross multiply
    7,376.63x = 11,698.45 × 11,698.45
  4. Step 4: Simplify right side
    7,376.63x = 136,853,805.52
  5. Step 5: Solve for x
    x = 136,853,805.52/7,376.63
  6. Step 6: Final answer
    x = 18,552.36

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.