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Finding the Third Proportional to 24,615 and 53,347

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Solution

The third proportional to 24,615 and 53,347 is: 115,616.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,615 : 53,347 = 53,347 : x
  2. Step 2: Convert to fraction form
    24,615/53,347 = 53,347/x
  3. Step 3: Cross multiply
    24,615x = 53,347 × 53,347
  4. Step 4: Simplify right side
    24,615x = 2,845,902,409
  5. Step 5: Solve for x
    x = 2,845,902,409/24,615
  6. Step 6: Final answer
    x = 115,616.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.