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Finding the Third Proportional to 6,566 and 9,825.94

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Solution

The third proportional to 6,566 and 9,825.94 is: 14,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566 : 9,825.94 = 9,825.94 : x
  2. Step 2: Convert to fraction form
    6,566/9,825.94 = 9,825.94/x
  3. Step 3: Cross multiply
    6,566x = 9,825.94 × 9,825.94
  4. Step 4: Simplify right side
    6,566x = 96,549,047.75
  5. Step 5: Solve for x
    x = 96,549,047.75/6,566
  6. Step 6: Final answer
    x = 14,704.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.