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Finding the Third Proportional to 42,376 and 62,268

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Solution

The third proportional to 42,376 and 62,268 is: 91,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,376 : 62,268 = 62,268 : x
  2. Step 2: Convert to fraction form
    42,376/62,268 = 62,268/x
  3. Step 3: Cross multiply
    42,376x = 62,268 × 62,268
  4. Step 4: Simplify right side
    42,376x = 3,877,303,824
  5. Step 5: Solve for x
    x = 3,877,303,824/42,376
  6. Step 6: Final answer
    x = 91,497.64

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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.