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Finding the Third Proportional to 6,497.44 and 10,056.66

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Solution

The third proportional to 6,497.44 and 10,056.66 is: 15,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.44 : 10,056.66 = 10,056.66 : x
  2. Step 2: Convert to fraction form
    6,497.44/10,056.66 = 10,056.66/x
  3. Step 3: Cross multiply
    6,497.44x = 10,056.66 × 10,056.66
  4. Step 4: Simplify right side
    6,497.44x = 101,136,334.93
  5. Step 5: Solve for x
    x = 101,136,334.93/6,497.44
  6. Step 6: Final answer
    x = 15,565.57

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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.