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Finding the Third Proportional to 6,528.94 and 9,946.41

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Solution

The third proportional to 6,528.94 and 9,946.41 is: 15,152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.94 : 9,946.41 = 9,946.41 : x
  2. Step 2: Convert to fraction form
    6,528.94/9,946.41 = 9,946.41/x
  3. Step 3: Cross multiply
    6,528.94x = 9,946.41 × 9,946.41
  4. Step 4: Simplify right side
    6,528.94x = 98,930,997.29
  5. Step 5: Solve for x
    x = 98,930,997.29/6,528.94
  6. Step 6: Final answer
    x = 15,152.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.