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Finding the Third Proportional to 30,010.50 and 63,438.19

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Solution

The third proportional to 30,010.50 and 63,438.19 is: 134,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,010.50 : 63,438.19 = 63,438.19 : x
  2. Step 2: Convert to fraction form
    30,010.50/63,438.19 = 63,438.19/x
  3. Step 3: Cross multiply
    30,010.50x = 63,438.19 × 63,438.19
  4. Step 4: Simplify right side
    30,010.50x = 4,024,403,633.29
  5. Step 5: Solve for x
    x = 4,024,403,633.29/30,010.50
  6. Step 6: Final answer
    x = 134,099.85

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Why These Related Problems?

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