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Finding the Third Proportional to 32,148 and 49,774

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Solution

The third proportional to 32,148 and 49,774 is: 77,063.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,148 : 49,774 = 49,774 : x
  2. Step 2: Convert to fraction form
    32,148/49,774 = 49,774/x
  3. Step 3: Cross multiply
    32,148x = 49,774 × 49,774
  4. Step 4: Simplify right side
    32,148x = 2,477,451,076
  5. Step 5: Solve for x
    x = 2,477,451,076/32,148
  6. Step 6: Final answer
    x = 77,063.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.