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Finding the Third Proportional to 49,838 and 74,901

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Solution

The third proportional to 49,838 and 74,901 is: 112,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,838 : 74,901 = 74,901 : x
  2. Step 2: Convert to fraction form
    49,838/74,901 = 74,901/x
  3. Step 3: Cross multiply
    49,838x = 74,901 × 74,901
  4. Step 4: Simplify right side
    49,838x = 5,610,159,801
  5. Step 5: Solve for x
    x = 5,610,159,801/49,838
  6. Step 6: Final answer
    x = 112,567.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.