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Finding the Third Proportional to 24,380 and 50,488

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Solution

The third proportional to 24,380 and 50,488 is: 104,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380 : 50,488 = 50,488 : x
  2. Step 2: Convert to fraction form
    24,380/50,488 = 50,488/x
  3. Step 3: Cross multiply
    24,380x = 50,488 × 50,488
  4. Step 4: Simplify right side
    24,380x = 2,549,038,144
  5. Step 5: Solve for x
    x = 2,549,038,144/24,380
  6. Step 6: Final answer
    x = 104,554.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.