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Finding the Third Proportional to 31,764 and 67,636.50

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Solution

The third proportional to 31,764 and 67,636.50 is: 144,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,764 : 67,636.50 = 67,636.50 : x
  2. Step 2: Convert to fraction form
    31,764/67,636.50 = 67,636.50/x
  3. Step 3: Cross multiply
    31,764x = 67,636.50 × 67,636.50
  4. Step 4: Simplify right side
    31,764x = 4,574,696,132.25
  5. Step 5: Solve for x
    x = 4,574,696,132.25/31,764
  6. Step 6: Final answer
    x = 144,021.41

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.