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Finding the Third Proportional to 21,190 and 46,022

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Solution

The third proportional to 21,190 and 46,022 is: 99,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,190 : 46,022 = 46,022 : x
  2. Step 2: Convert to fraction form
    21,190/46,022 = 46,022/x
  3. Step 3: Cross multiply
    21,190x = 46,022 × 46,022
  4. Step 4: Simplify right side
    21,190x = 2,118,024,484
  5. Step 5: Solve for x
    x = 2,118,024,484/21,190
  6. Step 6: Final answer
    x = 99,953.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.