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Finding the Third Proportional to 14,833.48 and 30,217.78

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Solution

The third proportional to 14,833.48 and 30,217.78 is: 61,557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833.48 : 30,217.78 = 30,217.78 : x
  2. Step 2: Convert to fraction form
    14,833.48/30,217.78 = 30,217.78/x
  3. Step 3: Cross multiply
    14,833.48x = 30,217.78 × 30,217.78
  4. Step 4: Simplify right side
    14,833.48x = 913,114,303.67
  5. Step 5: Solve for x
    x = 913,114,303.67/14,833.48
  6. Step 6: Final answer
    x = 61,557.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.