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Finding the Third Proportional to 13,217.63 and 19,330.31

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Solution

The third proportional to 13,217.63 and 19,330.31 is: 28,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,217.63 : 19,330.31 = 19,330.31 : x
  2. Step 2: Convert to fraction form
    13,217.63/19,330.31 = 19,330.31/x
  3. Step 3: Cross multiply
    13,217.63x = 19,330.31 × 19,330.31
  4. Step 4: Simplify right side
    13,217.63x = 373,660,981.35
  5. Step 5: Solve for x
    x = 373,660,981.35/13,217.63
  6. Step 6: Final answer
    x = 28,269.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.