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Finding the Third Proportional to 19,534 and 43,052

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Solution

The third proportional to 19,534 and 43,052 is: 94,884.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534 : 43,052 = 43,052 : x
  2. Step 2: Convert to fraction form
    19,534/43,052 = 43,052/x
  3. Step 3: Cross multiply
    19,534x = 43,052 × 43,052
  4. Step 4: Simplify right side
    19,534x = 1,853,474,704
  5. Step 5: Solve for x
    x = 1,853,474,704/19,534
  6. Step 6: Final answer
    x = 94,884.55

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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.