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Finding the Third Proportional to 21,458 and 46,609

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Solution

The third proportional to 21,458 and 46,609 is: 101,239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458 : 46,609 = 46,609 : x
  2. Step 2: Convert to fraction form
    21,458/46,609 = 46,609/x
  3. Step 3: Cross multiply
    21,458x = 46,609 × 46,609
  4. Step 4: Simplify right side
    21,458x = 2,172,398,881
  5. Step 5: Solve for x
    x = 2,172,398,881/21,458
  6. Step 6: Final answer
    x = 101,239.58

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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.