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Finding the Third Proportional to 21,967.50 and 34,950

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Solution

The third proportional to 21,967.50 and 34,950 is: 55,604.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.50 : 34,950 = 34,950 : x
  2. Step 2: Convert to fraction form
    21,967.50/34,950 = 34,950/x
  3. Step 3: Cross multiply
    21,967.50x = 34,950 × 34,950
  4. Step 4: Simplify right side
    21,967.50x = 1,221,502,500
  5. Step 5: Solve for x
    x = 1,221,502,500/21,967.50
  6. Step 6: Final answer
    x = 55,604.98

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.