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Finding the Third Proportional to 23,817 and 53,272

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Solution

The third proportional to 23,817 and 53,272 is: 119,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817 : 53,272 = 53,272 : x
  2. Step 2: Convert to fraction form
    23,817/53,272 = 53,272/x
  3. Step 3: Cross multiply
    23,817x = 53,272 × 53,272
  4. Step 4: Simplify right side
    23,817x = 2,837,905,984
  5. Step 5: Solve for x
    x = 2,837,905,984/23,817
  6. Step 6: Final answer
    x = 119,154.64

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.