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Finding the Third Proportional to 50,850 and 74,574

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Solution

The third proportional to 50,850 and 74,574 is: 109,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,850 : 74,574 = 74,574 : x
  2. Step 2: Convert to fraction form
    50,850/74,574 = 74,574/x
  3. Step 3: Cross multiply
    50,850x = 74,574 × 74,574
  4. Step 4: Simplify right side
    50,850x = 5,561,281,476
  5. Step 5: Solve for x
    x = 5,561,281,476/50,850
  6. Step 6: Final answer
    x = 109,366.40

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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.