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Finding the Third Proportional to 8,133.75 and 9,929.25

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Solution

The third proportional to 8,133.75 and 9,929.25 is: 12,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.75 : 9,929.25 = 9,929.25 : x
  2. Step 2: Convert to fraction form
    8,133.75/9,929.25 = 9,929.25/x
  3. Step 3: Cross multiply
    8,133.75x = 9,929.25 × 9,929.25
  4. Step 4: Simplify right side
    8,133.75x = 98,590,005.56
  5. Step 5: Solve for x
    x = 98,590,005.56/8,133.75
  6. Step 6: Final answer
    x = 12,121.10

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.