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Finding the Third Proportional to 28,896.24 and 45,341.09

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Solution

The third proportional to 28,896.24 and 45,341.09 is: 71,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,896.24 : 45,341.09 = 45,341.09 : x
  2. Step 2: Convert to fraction form
    28,896.24/45,341.09 = 45,341.09/x
  3. Step 3: Cross multiply
    28,896.24x = 45,341.09 × 45,341.09
  4. Step 4: Simplify right side
    28,896.24x = 2,055,814,871.00
  5. Step 5: Solve for x
    x = 2,055,814,871.00/28,896.24
  6. Step 6: Final answer
    x = 71,144.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.