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Finding the Third Proportional to 49,362 and 74,487

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Solution

The third proportional to 49,362 and 74,487 is: 112,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,362 : 74,487 = 74,487 : x
  2. Step 2: Convert to fraction form
    49,362/74,487 = 74,487/x
  3. Step 3: Cross multiply
    49,362x = 74,487 × 74,487
  4. Step 4: Simplify right side
    49,362x = 5,548,313,169
  5. Step 5: Solve for x
    x = 5,548,313,169/49,362
  6. Step 6: Final answer
    x = 112,400.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.