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Finding the Third Proportional to 32,613 and 68,726

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Solution

The third proportional to 32,613 and 68,726 is: 144,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,613 : 68,726 = 68,726 : x
  2. Step 2: Convert to fraction form
    32,613/68,726 = 68,726/x
  3. Step 3: Cross multiply
    32,613x = 68,726 × 68,726
  4. Step 4: Simplify right side
    32,613x = 4,723,263,076
  5. Step 5: Solve for x
    x = 4,723,263,076/32,613
  6. Step 6: Final answer
    x = 144,827.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.