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Finding the Third Proportional to 20,424 and 44,875

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Solution

The third proportional to 20,424 and 44,875 is: 98,598.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,424 : 44,875 = 44,875 : x
  2. Step 2: Convert to fraction form
    20,424/44,875 = 44,875/x
  3. Step 3: Cross multiply
    20,424x = 44,875 × 44,875
  4. Step 4: Simplify right side
    20,424x = 2,013,765,625
  5. Step 5: Solve for x
    x = 2,013,765,625/20,424
  6. Step 6: Final answer
    x = 98,598.00

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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.