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Finding the Third Proportional to 15,039 and 17,104.50

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Solution

The third proportional to 15,039 and 17,104.50 is: 19,453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,039 : 17,104.50 = 17,104.50 : x
  2. Step 2: Convert to fraction form
    15,039/17,104.50 = 17,104.50/x
  3. Step 3: Cross multiply
    15,039x = 17,104.50 × 17,104.50
  4. Step 4: Simplify right side
    15,039x = 292,563,920.25
  5. Step 5: Solve for x
    x = 292,563,920.25/15,039
  6. Step 6: Final answer
    x = 19,453.68

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.