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Finding the Third Proportional to 34,646 and 52,458

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Solution

The third proportional to 34,646 and 52,458 is: 79,427.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,646 : 52,458 = 52,458 : x
  2. Step 2: Convert to fraction form
    34,646/52,458 = 52,458/x
  3. Step 3: Cross multiply
    34,646x = 52,458 × 52,458
  4. Step 4: Simplify right side
    34,646x = 2,751,841,764
  5. Step 5: Solve for x
    x = 2,751,841,764/34,646
  6. Step 6: Final answer
    x = 79,427.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.