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Finding the Third Proportional to 46,166.20 and 69,579.63

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Solution

The third proportional to 46,166.20 and 69,579.63 is: 104,867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,166.20 : 69,579.63 = 69,579.63 : x
  2. Step 2: Convert to fraction form
    46,166.20/69,579.63 = 69,579.63/x
  3. Step 3: Cross multiply
    46,166.20x = 69,579.63 × 69,579.63
  4. Step 4: Simplify right side
    46,166.20x = 4,841,325,302.32
  5. Step 5: Solve for x
    x = 4,841,325,302.32/46,166.20
  6. Step 6: Final answer
    x = 104,867.30

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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.