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Finding the Third Proportional to 31,407.75 and 45,289.13

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Solution

The third proportional to 31,407.75 and 45,289.13 is: 65,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.75 : 45,289.13 = 45,289.13 : x
  2. Step 2: Convert to fraction form
    31,407.75/45,289.13 = 45,289.13/x
  3. Step 3: Cross multiply
    31,407.75x = 45,289.13 × 45,289.13
  4. Step 4: Simplify right side
    31,407.75x = 2,051,104,843.27
  5. Step 5: Solve for x
    x = 2,051,104,843.27/31,407.75
  6. Step 6: Final answer
    x = 65,305.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.