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Finding the Third Proportional to 4,520.81 and 6,528.94

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Solution

The third proportional to 4,520.81 and 6,528.94 is: 9,429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,520.81 : 6,528.94 = 6,528.94 : x
  2. Step 2: Convert to fraction form
    4,520.81/6,528.94 = 6,528.94/x
  3. Step 3: Cross multiply
    4,520.81x = 6,528.94 × 6,528.94
  4. Step 4: Simplify right side
    4,520.81x = 42,627,024.88
  5. Step 5: Solve for x
    x = 42,627,024.88/4,520.81
  6. Step 6: Final answer
    x = 9,429.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.