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Finding the Third Proportional to 6,307.88 and 9,339.68

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Solution

The third proportional to 6,307.88 and 9,339.68 is: 13,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.88 : 9,339.68 = 9,339.68 : x
  2. Step 2: Convert to fraction form
    6,307.88/9,339.68 = 9,339.68/x
  3. Step 3: Cross multiply
    6,307.88x = 9,339.68 × 9,339.68
  4. Step 4: Simplify right side
    6,307.88x = 87,229,616.67
  5. Step 5: Solve for x
    x = 87,229,616.67/6,307.88
  6. Step 6: Final answer
    x = 13,828.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.