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Finding the Third Proportional to 49,450.50 and 75,421.13

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Solution

The third proportional to 49,450.50 and 75,421.13 is: 115,031.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,450.50 : 75,421.13 = 75,421.13 : x
  2. Step 2: Convert to fraction form
    49,450.50/75,421.13 = 75,421.13/x
  3. Step 3: Cross multiply
    49,450.50x = 75,421.13 × 75,421.13
  4. Step 4: Simplify right side
    49,450.50x = 5,688,346,096.27
  5. Step 5: Solve for x
    x = 5,688,346,096.27/49,450.50
  6. Step 6: Final answer
    x = 115,031.11

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.