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Finding the Third Proportional to 24,907 and 53,773

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Solution

The third proportional to 24,907 and 53,773 is: 116,093.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,907 : 53,773 = 53,773 : x
  2. Step 2: Convert to fraction form
    24,907/53,773 = 53,773/x
  3. Step 3: Cross multiply
    24,907x = 53,773 × 53,773
  4. Step 4: Simplify right side
    24,907x = 2,891,535,529
  5. Step 5: Solve for x
    x = 2,891,535,529/24,907
  6. Step 6: Final answer
    x = 116,093.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.