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Finding the Third Proportional to 27,284 and 40,024

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Solution

The third proportional to 27,284 and 40,024 is: 58,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,284 : 40,024 = 40,024 : x
  2. Step 2: Convert to fraction form
    27,284/40,024 = 40,024/x
  3. Step 3: Cross multiply
    27,284x = 40,024 × 40,024
  4. Step 4: Simplify right side
    27,284x = 1,601,920,576
  5. Step 5: Solve for x
    x = 1,601,920,576/27,284
  6. Step 6: Final answer
    x = 58,712.82

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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.