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Finding the Third Proportional to 20,004 and 30,411

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Solution

The third proportional to 20,004 and 30,411 is: 46,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,004 : 30,411 = 30,411 : x
  2. Step 2: Convert to fraction form
    20,004/30,411 = 30,411/x
  3. Step 3: Cross multiply
    20,004x = 30,411 × 30,411
  4. Step 4: Simplify right side
    20,004x = 924,828,921
  5. Step 5: Solve for x
    x = 924,828,921/20,004
  6. Step 6: Final answer
    x = 46,232.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.