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Finding the Third Proportional to 20,464 and 30,024

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Solution

The third proportional to 20,464 and 30,024 is: 44,050.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,464 : 30,024 = 30,024 : x
  2. Step 2: Convert to fraction form
    20,464/30,024 = 30,024/x
  3. Step 3: Cross multiply
    20,464x = 30,024 × 30,024
  4. Step 4: Simplify right side
    20,464x = 901,440,576
  5. Step 5: Solve for x
    x = 901,440,576/20,464
  6. Step 6: Final answer
    x = 44,050.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.