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Finding the Third Proportional to 9,570 and 22,197

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Solution

The third proportional to 9,570 and 22,197 is: 51,484.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570 : 22,197 = 22,197 : x
  2. Step 2: Convert to fraction form
    9,570/22,197 = 22,197/x
  3. Step 3: Cross multiply
    9,570x = 22,197 × 22,197
  4. Step 4: Simplify right side
    9,570x = 492,706,809
  5. Step 5: Solve for x
    x = 492,706,809/9,570
  6. Step 6: Final answer
    x = 51,484.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.