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Finding the Third Proportional to 19,704 and 31,200

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Solution

The third proportional to 19,704 and 31,200 is: 49,403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704 : 31,200 = 31,200 : x
  2. Step 2: Convert to fraction form
    19,704/31,200 = 31,200/x
  3. Step 3: Cross multiply
    19,704x = 31,200 × 31,200
  4. Step 4: Simplify right side
    19,704x = 973,440,000
  5. Step 5: Solve for x
    x = 973,440,000/19,704
  6. Step 6: Final answer
    x = 49,403.17

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.