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Finding the Third Proportional to 32,805 and 49,596

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Solution

The third proportional to 32,805 and 49,596 is: 74,981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,805 : 49,596 = 49,596 : x
  2. Step 2: Convert to fraction form
    32,805/49,596 = 49,596/x
  3. Step 3: Cross multiply
    32,805x = 49,596 × 49,596
  4. Step 4: Simplify right side
    32,805x = 2,459,763,216
  5. Step 5: Solve for x
    x = 2,459,763,216/32,805
  6. Step 6: Final answer
    x = 74,981.35

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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.