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Finding the Third Proportional to 7,805.67 and 11,904.05

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Solution

The third proportional to 7,805.67 and 11,904.05 is: 18,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.67 : 11,904.05 = 11,904.05 : x
  2. Step 2: Convert to fraction form
    7,805.67/11,904.05 = 11,904.05/x
  3. Step 3: Cross multiply
    7,805.67x = 11,904.05 × 11,904.05
  4. Step 4: Simplify right side
    7,805.67x = 141,706,332.00
  5. Step 5: Solve for x
    x = 141,706,332.00/7,805.67
  6. Step 6: Final answer
    x = 18,154.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.