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Finding the Third Proportional to 10,635 and 24,841

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Solution

The third proportional to 10,635 and 24,841 is: 58,023.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635 : 24,841 = 24,841 : x
  2. Step 2: Convert to fraction form
    10,635/24,841 = 24,841/x
  3. Step 3: Cross multiply
    10,635x = 24,841 × 24,841
  4. Step 4: Simplify right side
    10,635x = 617,075,281
  5. Step 5: Solve for x
    x = 617,075,281/10,635
  6. Step 6: Final answer
    x = 58,023.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.