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Finding the Third Proportional to 7,967.39 and 12,393.18

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Solution

The third proportional to 7,967.39 and 12,393.18 is: 19,277.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.39 : 12,393.18 = 12,393.18 : x
  2. Step 2: Convert to fraction form
    7,967.39/12,393.18 = 12,393.18/x
  3. Step 3: Cross multiply
    7,967.39x = 12,393.18 × 12,393.18
  4. Step 4: Simplify right side
    7,967.39x = 153,590,860.41
  5. Step 5: Solve for x
    x = 153,590,860.41/7,967.39
  6. Step 6: Final answer
    x = 19,277.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.