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Finding the Third Proportional to 17,598 and 37,483.50

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Solution

The third proportional to 17,598 and 37,483.50 is: 79,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,598 : 37,483.50 = 37,483.50 : x
  2. Step 2: Convert to fraction form
    17,598/37,483.50 = 37,483.50/x
  3. Step 3: Cross multiply
    17,598x = 37,483.50 × 37,483.50
  4. Step 4: Simplify right side
    17,598x = 1,405,012,772.25
  5. Step 5: Solve for x
    x = 1,405,012,772.25/17,598
  6. Step 6: Final answer
    x = 79,839.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.