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Finding the Third Proportional to 8,307.56 and 18,165.94

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Solution

The third proportional to 8,307.56 and 18,165.94 is: 39,723.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.56 : 18,165.94 = 18,165.94 : x
  2. Step 2: Convert to fraction form
    8,307.56/18,165.94 = 18,165.94/x
  3. Step 3: Cross multiply
    8,307.56x = 18,165.94 × 18,165.94
  4. Step 4: Simplify right side
    8,307.56x = 330,001,285.25
  5. Step 5: Solve for x
    x = 330,001,285.25/8,307.56
  6. Step 6: Final answer
    x = 39,723.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.