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Finding the Third Proportional to 8,946 and 20,794.50

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Solution

The third proportional to 8,946 and 20,794.50 is: 48,335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946 : 20,794.50 = 20,794.50 : x
  2. Step 2: Convert to fraction form
    8,946/20,794.50 = 20,794.50/x
  3. Step 3: Cross multiply
    8,946x = 20,794.50 × 20,794.50
  4. Step 4: Simplify right side
    8,946x = 432,411,230.25
  5. Step 5: Solve for x
    x = 432,411,230.25/8,946
  6. Step 6: Final answer
    x = 48,335.71

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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.