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Finding the Third Proportional to 20,984 and 30,720

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Solution

The third proportional to 20,984 and 30,720 is: 44,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984 : 30,720 = 30,720 : x
  2. Step 2: Convert to fraction form
    20,984/30,720 = 30,720/x
  3. Step 3: Cross multiply
    20,984x = 30,720 × 30,720
  4. Step 4: Simplify right side
    20,984x = 943,718,400
  5. Step 5: Solve for x
    x = 943,718,400/20,984
  6. Step 6: Final answer
    x = 44,973.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.