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Finding the Third Proportional to 24,255 and 53,019

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Solution

The third proportional to 24,255 and 53,019 is: 115,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,255 : 53,019 = 53,019 : x
  2. Step 2: Convert to fraction form
    24,255/53,019 = 53,019/x
  3. Step 3: Cross multiply
    24,255x = 53,019 × 53,019
  4. Step 4: Simplify right side
    24,255x = 2,811,014,361
  5. Step 5: Solve for x
    x = 2,811,014,361/24,255
  6. Step 6: Final answer
    x = 115,894.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.