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Finding the Third Proportional to 50,417 and 74,473

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Solution

The third proportional to 50,417 and 74,473 is: 110,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,417 : 74,473 = 74,473 : x
  2. Step 2: Convert to fraction form
    50,417/74,473 = 74,473/x
  3. Step 3: Cross multiply
    50,417x = 74,473 × 74,473
  4. Step 4: Simplify right side
    50,417x = 5,546,227,729
  5. Step 5: Solve for x
    x = 5,546,227,729/50,417
  6. Step 6: Final answer
    x = 110,007.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.