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Finding the Third Proportional to 9,411 and 20,073

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Solution

The third proportional to 9,411 and 20,073 is: 42,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411 : 20,073 = 20,073 : x
  2. Step 2: Convert to fraction form
    9,411/20,073 = 20,073/x
  3. Step 3: Cross multiply
    9,411x = 20,073 × 20,073
  4. Step 4: Simplify right side
    9,411x = 402,925,329
  5. Step 5: Solve for x
    x = 402,925,329/9,411
  6. Step 6: Final answer
    x = 42,814.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.