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Finding the Third Proportional to 32,954.88 and 51,070.75

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Solution

The third proportional to 32,954.88 and 51,070.75 is: 79,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,954.88 : 51,070.75 = 51,070.75 : x
  2. Step 2: Convert to fraction form
    32,954.88/51,070.75 = 51,070.75/x
  3. Step 3: Cross multiply
    32,954.88x = 51,070.75 × 51,070.75
  4. Step 4: Simplify right side
    32,954.88x = 2,608,221,505.56
  5. Step 5: Solve for x
    x = 2,608,221,505.56/32,954.88
  6. Step 6: Final answer
    x = 79,145.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.