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Finding the Third Proportional to 8,328.13 and 17,801.02

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Solution

The third proportional to 8,328.13 and 17,801.02 is: 38,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,328.13 : 17,801.02 = 17,801.02 : x
  2. Step 2: Convert to fraction form
    8,328.13/17,801.02 = 17,801.02/x
  3. Step 3: Cross multiply
    8,328.13x = 17,801.02 × 17,801.02
  4. Step 4: Simplify right side
    8,328.13x = 316,876,157.28
  5. Step 5: Solve for x
    x = 316,876,157.28/8,328.13
  6. Step 6: Final answer
    x = 38,048.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.