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Finding the Third Proportional to 21,072 and 24,024

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Solution

The third proportional to 21,072 and 24,024 is: 27,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,072 : 24,024 = 24,024 : x
  2. Step 2: Convert to fraction form
    21,072/24,024 = 24,024/x
  3. Step 3: Cross multiply
    21,072x = 24,024 × 24,024
  4. Step 4: Simplify right side
    21,072x = 577,152,576
  5. Step 5: Solve for x
    x = 577,152,576/21,072
  6. Step 6: Final answer
    x = 27,389.55

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.