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Finding the Third Proportional to 24,185 and 53,122

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Solution

The third proportional to 24,185 and 53,122 is: 116,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,185 : 53,122 = 53,122 : x
  2. Step 2: Convert to fraction form
    24,185/53,122 = 53,122/x
  3. Step 3: Cross multiply
    24,185x = 53,122 × 53,122
  4. Step 4: Simplify right side
    24,185x = 2,821,946,884
  5. Step 5: Solve for x
    x = 2,821,946,884/24,185
  6. Step 6: Final answer
    x = 116,681.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.