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Finding the Third Proportional to 3,133.13 and 6,528.96

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Solution

The third proportional to 3,133.13 and 6,528.96 is: 13,605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.13 : 6,528.96 = 6,528.96 : x
  2. Step 2: Convert to fraction form
    3,133.13/6,528.96 = 6,528.96/x
  3. Step 3: Cross multiply
    3,133.13x = 6,528.96 × 6,528.96
  4. Step 4: Simplify right side
    3,133.13x = 42,627,369.18
  5. Step 5: Solve for x
    x = 42,627,369.18/3,133.13
  6. Step 6: Final answer
    x = 13,605.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.