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Finding the Third Proportional to 6,307.03 and 9,894.66

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Solution

The third proportional to 6,307.03 and 9,894.66 is: 15,523.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.03 : 9,894.66 = 9,894.66 : x
  2. Step 2: Convert to fraction form
    6,307.03/9,894.66 = 9,894.66/x
  3. Step 3: Cross multiply
    6,307.03x = 9,894.66 × 9,894.66
  4. Step 4: Simplify right side
    6,307.03x = 97,904,222.31
  5. Step 5: Solve for x
    x = 97,904,222.31/6,307.03
  6. Step 6: Final answer
    x = 15,523.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.