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Finding the Third Proportional to 46,138 and 61,998

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Solution

The third proportional to 46,138 and 61,998 is: 83,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,138 : 61,998 = 61,998 : x
  2. Step 2: Convert to fraction form
    46,138/61,998 = 61,998/x
  3. Step 3: Cross multiply
    46,138x = 61,998 × 61,998
  4. Step 4: Simplify right side
    46,138x = 3,843,752,004
  5. Step 5: Solve for x
    x = 3,843,752,004/46,138
  6. Step 6: Final answer
    x = 83,309.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.