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Finding the Third Proportional to 24,903 and 53,768

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Solution

The third proportional to 24,903 and 53,768 is: 116,090.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,903 : 53,768 = 53,768 : x
  2. Step 2: Convert to fraction form
    24,903/53,768 = 53,768/x
  3. Step 3: Cross multiply
    24,903x = 53,768 × 53,768
  4. Step 4: Simplify right side
    24,903x = 2,890,997,824
  5. Step 5: Solve for x
    x = 2,890,997,824/24,903
  6. Step 6: Final answer
    x = 116,090.34

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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.