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Finding the Third Proportional to 27,024 and 59,376

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Solution

The third proportional to 27,024 and 59,376 is: 130,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,024 : 59,376 = 59,376 : x
  2. Step 2: Convert to fraction form
    27,024/59,376 = 59,376/x
  3. Step 3: Cross multiply
    27,024x = 59,376 × 59,376
  4. Step 4: Simplify right side
    27,024x = 3,525,509,376
  5. Step 5: Solve for x
    x = 3,525,509,376/27,024
  6. Step 6: Final answer
    x = 130,458.46

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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.