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Finding the Third Proportional to 28,617 and 38,209.50

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Solution

The third proportional to 28,617 and 38,209.50 is: 51,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,617 : 38,209.50 = 38,209.50 : x
  2. Step 2: Convert to fraction form
    28,617/38,209.50 = 38,209.50/x
  3. Step 3: Cross multiply
    28,617x = 38,209.50 × 38,209.50
  4. Step 4: Simplify right side
    28,617x = 1,459,965,890.25
  5. Step 5: Solve for x
    x = 1,459,965,890.25/28,617
  6. Step 6: Final answer
    x = 51,017.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.