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Finding the Third Proportional to 30,139.50 and 63,519

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Solution

The third proportional to 30,139.50 and 63,519 is: 133,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,139.50 : 63,519 = 63,519 : x
  2. Step 2: Convert to fraction form
    30,139.50/63,519 = 63,519/x
  3. Step 3: Cross multiply
    30,139.50x = 63,519 × 63,519
  4. Step 4: Simplify right side
    30,139.50x = 4,034,663,361
  5. Step 5: Solve for x
    x = 4,034,663,361/30,139.50
  6. Step 6: Final answer
    x = 133,866.30

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.