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Finding the Third Proportional to 32,685 and 50,261

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Solution

The third proportional to 32,685 and 50,261 is: 77,288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,685 : 50,261 = 50,261 : x
  2. Step 2: Convert to fraction form
    32,685/50,261 = 50,261/x
  3. Step 3: Cross multiply
    32,685x = 50,261 × 50,261
  4. Step 4: Simplify right side
    32,685x = 2,526,168,121
  5. Step 5: Solve for x
    x = 2,526,168,121/32,685
  6. Step 6: Final answer
    x = 77,288.30

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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.