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Finding the Third Proportional to 13,358.75 and 28,729

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Solution

The third proportional to 13,358.75 and 28,729 is: 61,783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,358.75 : 28,729 = 28,729 : x
  2. Step 2: Convert to fraction form
    13,358.75/28,729 = 28,729/x
  3. Step 3: Cross multiply
    13,358.75x = 28,729 × 28,729
  4. Step 4: Simplify right side
    13,358.75x = 825,355,441
  5. Step 5: Solve for x
    x = 825,355,441/13,358.75
  6. Step 6: Final answer
    x = 61,783.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.