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Finding the Third Proportional to 10,480 and 23,021

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Solution

The third proportional to 10,480 and 23,021 is: 50,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480 : 23,021 = 23,021 : x
  2. Step 2: Convert to fraction form
    10,480/23,021 = 23,021/x
  3. Step 3: Cross multiply
    10,480x = 23,021 × 23,021
  4. Step 4: Simplify right side
    10,480x = 529,966,441
  5. Step 5: Solve for x
    x = 529,966,441/10,480
  6. Step 6: Final answer
    x = 50,569.32

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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.