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Finding the Third Proportional to 9,024 and 21,840

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Solution

The third proportional to 9,024 and 21,840 is: 52,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024 : 21,840 = 21,840 : x
  2. Step 2: Convert to fraction form
    9,024/21,840 = 21,840/x
  3. Step 3: Cross multiply
    9,024x = 21,840 × 21,840
  4. Step 4: Simplify right side
    9,024x = 476,985,600
  5. Step 5: Solve for x
    x = 476,985,600/9,024
  6. Step 6: Final answer
    x = 52,857.45

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.