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Finding the Third Proportional to 24,172 and 49,024

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Solution

The third proportional to 24,172 and 49,024 is: 99,427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,172 : 49,024 = 49,024 : x
  2. Step 2: Convert to fraction form
    24,172/49,024 = 49,024/x
  3. Step 3: Cross multiply
    24,172x = 49,024 × 49,024
  4. Step 4: Simplify right side
    24,172x = 2,403,352,576
  5. Step 5: Solve for x
    x = 2,403,352,576/24,172
  6. Step 6: Final answer
    x = 99,427.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.