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Finding the Third Proportional to 32,596 and 49,206

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Solution

The third proportional to 32,596 and 49,206 is: 74,279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,596 : 49,206 = 49,206 : x
  2. Step 2: Convert to fraction form
    32,596/49,206 = 49,206/x
  3. Step 3: Cross multiply
    32,596x = 49,206 × 49,206
  4. Step 4: Simplify right side
    32,596x = 2,421,230,436
  5. Step 5: Solve for x
    x = 2,421,230,436/32,596
  6. Step 6: Final answer
    x = 74,279.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.