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Finding the Third Proportional to 15,412 and 20,022

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Solution

The third proportional to 15,412 and 20,022 is: 26,010.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,412 : 20,022 = 20,022 : x
  2. Step 2: Convert to fraction form
    15,412/20,022 = 20,022/x
  3. Step 3: Cross multiply
    15,412x = 20,022 × 20,022
  4. Step 4: Simplify right side
    15,412x = 400,880,484
  5. Step 5: Solve for x
    x = 400,880,484/15,412
  6. Step 6: Final answer
    x = 26,010.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.