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Finding the Third Proportional to 32,596 and 78,498

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Solution

The third proportional to 32,596 and 78,498 is: 189,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,596 : 78,498 = 78,498 : x
  2. Step 2: Convert to fraction form
    32,596/78,498 = 78,498/x
  3. Step 3: Cross multiply
    32,596x = 78,498 × 78,498
  4. Step 4: Simplify right side
    32,596x = 6,161,936,004
  5. Step 5: Solve for x
    x = 6,161,936,004/32,596
  6. Step 6: Final answer
    x = 189,039.64

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.