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Finding the Third Proportional to 46,480 and 69,826

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Solution

The third proportional to 46,480 and 69,826 is: 104,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,480 : 69,826 = 69,826 : x
  2. Step 2: Convert to fraction form
    46,480/69,826 = 69,826/x
  3. Step 3: Cross multiply
    46,480x = 69,826 × 69,826
  4. Step 4: Simplify right side
    46,480x = 4,875,670,276
  5. Step 5: Solve for x
    x = 4,875,670,276/46,480
  6. Step 6: Final answer
    x = 104,898.24

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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.