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Finding the Third Proportional to 21,964 and 48,300

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Solution

The third proportional to 21,964 and 48,300 is: 106,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,964 : 48,300 = 48,300 : x
  2. Step 2: Convert to fraction form
    21,964/48,300 = 48,300/x
  3. Step 3: Cross multiply
    21,964x = 48,300 × 48,300
  4. Step 4: Simplify right side
    21,964x = 2,332,890,000
  5. Step 5: Solve for x
    x = 2,332,890,000/21,964
  6. Step 6: Final answer
    x = 106,214.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.