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Finding the Third Proportional to 50,894 and 74,813

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Solution

The third proportional to 50,894 and 74,813 is: 109,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,894 : 74,813 = 74,813 : x
  2. Step 2: Convert to fraction form
    50,894/74,813 = 74,813/x
  3. Step 3: Cross multiply
    50,894x = 74,813 × 74,813
  4. Step 4: Simplify right side
    50,894x = 5,596,984,969
  5. Step 5: Solve for x
    x = 5,596,984,969/50,894
  6. Step 6: Final answer
    x = 109,973.38

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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.