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Finding the Third Proportional to 21,980 and 48,235

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Solution

The third proportional to 21,980 and 48,235 is: 105,851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980 : 48,235 = 48,235 : x
  2. Step 2: Convert to fraction form
    21,980/48,235 = 48,235/x
  3. Step 3: Cross multiply
    21,980x = 48,235 × 48,235
  4. Step 4: Simplify right side
    21,980x = 2,326,615,225
  5. Step 5: Solve for x
    x = 2,326,615,225/21,980
  6. Step 6: Final answer
    x = 105,851.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.