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Finding the Third Proportional to 25,636 and 34,630

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Solution

The third proportional to 25,636 and 34,630 is: 46,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,636 : 34,630 = 34,630 : x
  2. Step 2: Convert to fraction form
    25,636/34,630 = 34,630/x
  3. Step 3: Cross multiply
    25,636x = 34,630 × 34,630
  4. Step 4: Simplify right side
    25,636x = 1,199,236,900
  5. Step 5: Solve for x
    x = 1,199,236,900/25,636
  6. Step 6: Final answer
    x = 46,779.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.