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Finding the Third Proportional to 8,975.81 and 20,966.34

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Solution

The third proportional to 8,975.81 and 20,966.34 is: 48,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975.81 : 20,966.34 = 20,966.34 : x
  2. Step 2: Convert to fraction form
    8,975.81/20,966.34 = 20,966.34/x
  3. Step 3: Cross multiply
    8,975.81x = 20,966.34 × 20,966.34
  4. Step 4: Simplify right side
    8,975.81x = 439,587,570.24
  5. Step 5: Solve for x
    x = 439,587,570.24/8,975.81
  6. Step 6: Final answer
    x = 48,974.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.