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Finding the Third Proportional to 6,094.41 and 9,670.43

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Solution

The third proportional to 6,094.41 and 9,670.43 is: 15,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.41 : 9,670.43 = 9,670.43 : x
  2. Step 2: Convert to fraction form
    6,094.41/9,670.43 = 9,670.43/x
  3. Step 3: Cross multiply
    6,094.41x = 9,670.43 × 9,670.43
  4. Step 4: Simplify right side
    6,094.41x = 93,517,210.34
  5. Step 5: Solve for x
    x = 93,517,210.34/6,094.41
  6. Step 6: Final answer
    x = 15,344.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.