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Finding the Third Proportional to 8,070.89 and 17,378.30

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Solution

The third proportional to 8,070.89 and 17,378.30 is: 37,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.89 : 17,378.30 = 17,378.30 : x
  2. Step 2: Convert to fraction form
    8,070.89/17,378.30 = 17,378.30/x
  3. Step 3: Cross multiply
    8,070.89x = 17,378.30 × 17,378.30
  4. Step 4: Simplify right side
    8,070.89x = 302,005,202.28
  5. Step 5: Solve for x
    x = 302,005,202.28/8,070.89
  6. Step 6: Final answer
    x = 37,419.07

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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.