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Finding the Third Proportional to 6,307.56 and 9,794.51

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Solution

The third proportional to 6,307.56 and 9,794.51 is: 15,209.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.56 : 9,794.51 = 9,794.51 : x
  2. Step 2: Convert to fraction form
    6,307.56/9,794.51 = 9,794.51/x
  3. Step 3: Cross multiply
    6,307.56x = 9,794.51 × 9,794.51
  4. Step 4: Simplify right side
    6,307.56x = 95,932,498.07
  5. Step 5: Solve for x
    x = 95,932,498.07/6,307.56
  6. Step 6: Final answer
    x = 15,209.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.