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Finding the Third Proportional to 6,334.03 and 9,851.91

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Solution

The third proportional to 6,334.03 and 9,851.91 is: 15,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.03 : 9,851.91 = 9,851.91 : x
  2. Step 2: Convert to fraction form
    6,334.03/9,851.91 = 9,851.91/x
  3. Step 3: Cross multiply
    6,334.03x = 9,851.91 × 9,851.91
  4. Step 4: Simplify right side
    6,334.03x = 97,060,056.76
  5. Step 5: Solve for x
    x = 97,060,056.76/6,334.03
  6. Step 6: Final answer
    x = 15,323.58

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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.