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Finding the Third Proportional to 8,946.56 and 17,636.06

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Solution

The third proportional to 8,946.56 and 17,636.06 is: 34,765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.56 : 17,636.06 = 17,636.06 : x
  2. Step 2: Convert to fraction form
    8,946.56/17,636.06 = 17,636.06/x
  3. Step 3: Cross multiply
    8,946.56x = 17,636.06 × 17,636.06
  4. Step 4: Simplify right side
    8,946.56x = 311,030,700.50
  5. Step 5: Solve for x
    x = 311,030,700.50/8,946.56
  6. Step 6: Final answer
    x = 34,765.39

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.