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Finding the Third Proportional to 46,512.75 and 74,257.25

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Solution

The third proportional to 46,512.75 and 74,257.25 is: 118,551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,512.75 : 74,257.25 = 74,257.25 : x
  2. Step 2: Convert to fraction form
    46,512.75/74,257.25 = 74,257.25/x
  3. Step 3: Cross multiply
    46,512.75x = 74,257.25 × 74,257.25
  4. Step 4: Simplify right side
    46,512.75x = 5,514,139,177.56
  5. Step 5: Solve for x
    x = 5,514,139,177.56/46,512.75
  6. Step 6: Final answer
    x = 118,551.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.