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Finding the Third Proportional to 24,310 and 53,012

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Solution

The third proportional to 24,310 and 53,012 is: 115,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,310 : 53,012 = 53,012 : x
  2. Step 2: Convert to fraction form
    24,310/53,012 = 53,012/x
  3. Step 3: Cross multiply
    24,310x = 53,012 × 53,012
  4. Step 4: Simplify right side
    24,310x = 2,810,272,144
  5. Step 5: Solve for x
    x = 2,810,272,144/24,310
  6. Step 6: Final answer
    x = 115,601.49

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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.