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Finding the Third Proportional to 32,115 and 49,425

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Solution

The third proportional to 32,115 and 49,425 is: 76,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,115 : 49,425 = 49,425 : x
  2. Step 2: Convert to fraction form
    32,115/49,425 = 49,425/x
  3. Step 3: Cross multiply
    32,115x = 49,425 × 49,425
  4. Step 4: Simplify right side
    32,115x = 2,442,830,625
  5. Step 5: Solve for x
    x = 2,442,830,625/32,115
  6. Step 6: Final answer
    x = 76,065.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.