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Finding the Third Proportional to 7,954.03 and 13,582.69

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Solution

The third proportional to 7,954.03 and 13,582.69 is: 23,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.03 : 13,582.69 = 13,582.69 : x
  2. Step 2: Convert to fraction form
    7,954.03/13,582.69 = 13,582.69/x
  3. Step 3: Cross multiply
    7,954.03x = 13,582.69 × 13,582.69
  4. Step 4: Simplify right side
    7,954.03x = 184,489,399.72
  5. Step 5: Solve for x
    x = 184,489,399.72/7,954.03
  6. Step 6: Final answer
    x = 23,194.45

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.