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Finding the Third Proportional to 4,196.81 and 6,528.09

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Solution

The third proportional to 4,196.81 and 6,528.09 is: 10,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.81 : 6,528.09 = 6,528.09 : x
  2. Step 2: Convert to fraction form
    4,196.81/6,528.09 = 6,528.09/x
  3. Step 3: Cross multiply
    4,196.81x = 6,528.09 × 6,528.09
  4. Step 4: Simplify right side
    4,196.81x = 42,616,008.01
  5. Step 5: Solve for x
    x = 42,616,008.01/4,196.81
  6. Step 6: Final answer
    x = 10,154.38

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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.