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Finding the Third Proportional to 7,684.88 and 9,968.06

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Solution

The third proportional to 7,684.88 and 9,968.06 is: 12,929.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.88 : 9,968.06 = 9,968.06 : x
  2. Step 2: Convert to fraction form
    7,684.88/9,968.06 = 9,968.06/x
  3. Step 3: Cross multiply
    7,684.88x = 9,968.06 × 9,968.06
  4. Step 4: Simplify right side
    7,684.88x = 99,362,270.00
  5. Step 5: Solve for x
    x = 99,362,270.00/7,684.88
  6. Step 6: Final answer
    x = 12,929.59

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.