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Finding the Third Proportional to 24,700 and 53,936

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Solution

The third proportional to 24,700 and 53,936 is: 117,777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,700 : 53,936 = 53,936 : x
  2. Step 2: Convert to fraction form
    24,700/53,936 = 53,936/x
  3. Step 3: Cross multiply
    24,700x = 53,936 × 53,936
  4. Step 4: Simplify right side
    24,700x = 2,909,092,096
  5. Step 5: Solve for x
    x = 2,909,092,096/24,700
  6. Step 6: Final answer
    x = 117,777.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.