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Finding the Third Proportional to 6,805.90 and 14,655.30

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Solution

The third proportional to 6,805.90 and 14,655.30 is: 31,557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.90 : 14,655.30 = 14,655.30 : x
  2. Step 2: Convert to fraction form
    6,805.90/14,655.30 = 14,655.30/x
  3. Step 3: Cross multiply
    6,805.90x = 14,655.30 × 14,655.30
  4. Step 4: Simplify right side
    6,805.90x = 214,777,955.48
  5. Step 5: Solve for x
    x = 214,777,955.48/6,805.90
  6. Step 6: Final answer
    x = 31,557.62

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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.