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Finding the Third Proportional to 19,489.50 and 42,951

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Solution

The third proportional to 19,489.50 and 42,951 is: 94,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,489.50 : 42,951 = 42,951 : x
  2. Step 2: Convert to fraction form
    19,489.50/42,951 = 42,951/x
  3. Step 3: Cross multiply
    19,489.50x = 42,951 × 42,951
  4. Step 4: Simplify right side
    19,489.50x = 1,844,788,401
  5. Step 5: Solve for x
    x = 1,844,788,401/19,489.50
  6. Step 6: Final answer
    x = 94,655.50

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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.