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Finding the Third Proportional to 17,130 and 37,366.50

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Solution

The third proportional to 17,130 and 37,366.50 is: 81,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,130 : 37,366.50 = 37,366.50 : x
  2. Step 2: Convert to fraction form
    17,130/37,366.50 = 37,366.50/x
  3. Step 3: Cross multiply
    17,130x = 37,366.50 × 37,366.50
  4. Step 4: Simplify right side
    17,130x = 1,396,255,322.25
  5. Step 5: Solve for x
    x = 1,396,255,322.25/17,130
  6. Step 6: Final answer
    x = 81,509.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.