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Finding the Third Proportional to 32,355 and 66,774

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Solution

The third proportional to 32,355 and 66,774 is: 137,807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,355 : 66,774 = 66,774 : x
  2. Step 2: Convert to fraction form
    32,355/66,774 = 66,774/x
  3. Step 3: Cross multiply
    32,355x = 66,774 × 66,774
  4. Step 4: Simplify right side
    32,355x = 4,458,767,076
  5. Step 5: Solve for x
    x = 4,458,767,076/32,355
  6. Step 6: Final answer
    x = 137,807.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.