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Finding the Third Proportional to 32,106 and 48,255

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Solution

The third proportional to 32,106 and 48,255 is: 72,526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,106 : 48,255 = 48,255 : x
  2. Step 2: Convert to fraction form
    32,106/48,255 = 48,255/x
  3. Step 3: Cross multiply
    32,106x = 48,255 × 48,255
  4. Step 4: Simplify right side
    32,106x = 2,328,545,025
  5. Step 5: Solve for x
    x = 2,328,545,025/32,106
  6. Step 6: Final answer
    x = 72,526.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.