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Finding the Third Proportional to 46,462 and 69,798

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Solution

The third proportional to 46,462 and 69,798 is: 104,854.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,462 : 69,798 = 69,798 : x
  2. Step 2: Convert to fraction form
    46,462/69,798 = 69,798/x
  3. Step 3: Cross multiply
    46,462x = 69,798 × 69,798
  4. Step 4: Simplify right side
    46,462x = 4,871,760,804
  5. Step 5: Solve for x
    x = 4,871,760,804/46,462
  6. Step 6: Final answer
    x = 104,854.74

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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.