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Finding the Third Proportional to 3,002.81 and 6,543.94

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Solution

The third proportional to 3,002.81 and 6,543.94 is: 14,261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.81 : 6,543.94 = 6,543.94 : x
  2. Step 2: Convert to fraction form
    3,002.81/6,543.94 = 6,543.94/x
  3. Step 3: Cross multiply
    3,002.81x = 6,543.94 × 6,543.94
  4. Step 4: Simplify right side
    3,002.81x = 42,823,118.00
  5. Step 5: Solve for x
    x = 42,823,118.00/3,002.81
  6. Step 6: Final answer
    x = 14,261.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.