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Finding the Third Proportional to 33,335.25 and 48,686.25

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Solution

The third proportional to 33,335.25 and 48,686.25 is: 71,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,335.25 : 48,686.25 = 48,686.25 : x
  2. Step 2: Convert to fraction form
    33,335.25/48,686.25 = 48,686.25/x
  3. Step 3: Cross multiply
    33,335.25x = 48,686.25 × 48,686.25
  4. Step 4: Simplify right side
    33,335.25x = 2,370,350,939.06
  5. Step 5: Solve for x
    x = 2,370,350,939.06/33,335.25
  6. Step 6: Final answer
    x = 71,106.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.