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Finding the Third Proportional to 24,312 and 53,016

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Solution

The third proportional to 24,312 and 53,016 is: 115,609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312 : 53,016 = 53,016 : x
  2. Step 2: Convert to fraction form
    24,312/53,016 = 53,016/x
  3. Step 3: Cross multiply
    24,312x = 53,016 × 53,016
  4. Step 4: Simplify right side
    24,312x = 2,810,696,256
  5. Step 5: Solve for x
    x = 2,810,696,256/24,312
  6. Step 6: Final answer
    x = 115,609.42

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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.