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Finding the Third Proportional to 46,045.13 and 71,101.69

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Solution

The third proportional to 46,045.13 and 71,101.69 is: 109,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,045.13 : 71,101.69 = 71,101.69 : x
  2. Step 2: Convert to fraction form
    46,045.13/71,101.69 = 71,101.69/x
  3. Step 3: Cross multiply
    46,045.13x = 71,101.69 × 71,101.69
  4. Step 4: Simplify right side
    46,045.13x = 5,055,449,965.35
  5. Step 5: Solve for x
    x = 5,055,449,965.35/46,045.13
  6. Step 6: Final answer
    x = 109,793.38

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