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Finding the Third Proportional to 8,033.63 and 17,300.81

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Solution

The third proportional to 8,033.63 and 17,300.81 is: 37,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.63 : 17,300.81 = 17,300.81 : x
  2. Step 2: Convert to fraction form
    8,033.63/17,300.81 = 17,300.81/x
  3. Step 3: Cross multiply
    8,033.63x = 17,300.81 × 17,300.81
  4. Step 4: Simplify right side
    8,033.63x = 299,318,113.16
  5. Step 5: Solve for x
    x = 299,318,113.16/8,033.63
  6. Step 6: Final answer
    x = 37,258.16

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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.