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Finding the Third Proportional to 24,668 and 53,275

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Solution

The third proportional to 24,668 and 53,275 is: 115,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,668 : 53,275 = 53,275 : x
  2. Step 2: Convert to fraction form
    24,668/53,275 = 53,275/x
  3. Step 3: Cross multiply
    24,668x = 53,275 × 53,275
  4. Step 4: Simplify right side
    24,668x = 2,838,225,625
  5. Step 5: Solve for x
    x = 2,838,225,625/24,668
  6. Step 6: Final answer
    x = 115,056.98

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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.