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Finding the Third Proportional to 9,484 and 20,770

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Solution

The third proportional to 9,484 and 20,770 is: 45,486.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484 : 20,770 = 20,770 : x
  2. Step 2: Convert to fraction form
    9,484/20,770 = 20,770/x
  3. Step 3: Cross multiply
    9,484x = 20,770 × 20,770
  4. Step 4: Simplify right side
    9,484x = 431,392,900
  5. Step 5: Solve for x
    x = 431,392,900/9,484
  6. Step 6: Final answer
    x = 45,486.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.