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Finding the Third Proportional to 9,571 and 21,023

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Solution

The third proportional to 9,571 and 21,023 is: 46,177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571 : 21,023 = 21,023 : x
  2. Step 2: Convert to fraction form
    9,571/21,023 = 21,023/x
  3. Step 3: Cross multiply
    9,571x = 21,023 × 21,023
  4. Step 4: Simplify right side
    9,571x = 441,966,529
  5. Step 5: Solve for x
    x = 441,966,529/9,571
  6. Step 6: Final answer
    x = 46,177.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.