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Finding the Third Proportional to 20,046 and 43,509

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Solution

The third proportional to 20,046 and 43,509 is: 94,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046 : 43,509 = 43,509 : x
  2. Step 2: Convert to fraction form
    20,046/43,509 = 43,509/x
  3. Step 3: Cross multiply
    20,046x = 43,509 × 43,509
  4. Step 4: Simplify right side
    20,046x = 1,893,033,081
  5. Step 5: Solve for x
    x = 1,893,033,081/20,046
  6. Step 6: Final answer
    x = 94,434.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.