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Finding the Third Proportional to 6,292.69 and 9,823.78

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Solution

The third proportional to 6,292.69 and 9,823.78 is: 15,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.69 : 9,823.78 = 9,823.78 : x
  2. Step 2: Convert to fraction form
    6,292.69/9,823.78 = 9,823.78/x
  3. Step 3: Cross multiply
    6,292.69x = 9,823.78 × 9,823.78
  4. Step 4: Simplify right side
    6,292.69x = 96,506,678.05
  5. Step 5: Solve for x
    x = 96,506,678.05/6,292.69
  6. Step 6: Final answer
    x = 15,336.32

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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.