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Finding the Third Proportional to 44,965.13 and 69,195.94

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Solution

The third proportional to 44,965.13 and 69,195.94 is: 106,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,965.13 : 69,195.94 = 69,195.94 : x
  2. Step 2: Convert to fraction form
    44,965.13/69,195.94 = 69,195.94/x
  3. Step 3: Cross multiply
    44,965.13x = 69,195.94 × 69,195.94
  4. Step 4: Simplify right side
    44,965.13x = 4,788,077,766.50
  5. Step 5: Solve for x
    x = 4,788,077,766.50/44,965.13
  6. Step 6: Final answer
    x = 106,484.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.