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Finding the Third Proportional to 20,628 and 35,964

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Solution

The third proportional to 20,628 and 35,964 is: 62,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,628 : 35,964 = 35,964 : x
  2. Step 2: Convert to fraction form
    20,628/35,964 = 35,964/x
  3. Step 3: Cross multiply
    20,628x = 35,964 × 35,964
  4. Step 4: Simplify right side
    20,628x = 1,293,409,296
  5. Step 5: Solve for x
    x = 1,293,409,296/20,628
  6. Step 6: Final answer
    x = 62,701.63

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.