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Finding the Third Proportional to 21,973 and 34,052

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Solution

The third proportional to 21,973 and 34,052 is: 52,771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,973 : 34,052 = 34,052 : x
  2. Step 2: Convert to fraction form
    21,973/34,052 = 34,052/x
  3. Step 3: Cross multiply
    21,973x = 34,052 × 34,052
  4. Step 4: Simplify right side
    21,973x = 1,159,538,704
  5. Step 5: Solve for x
    x = 1,159,538,704/21,973
  6. Step 6: Final answer
    x = 52,771.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.