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Finding the Third Proportional to 3,125.63 and 6,736.88

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Solution

The third proportional to 3,125.63 and 6,736.88 is: 14,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.63 : 6,736.88 = 6,736.88 : x
  2. Step 2: Convert to fraction form
    3,125.63/6,736.88 = 6,736.88/x
  3. Step 3: Cross multiply
    3,125.63x = 6,736.88 × 6,736.88
  4. Step 4: Simplify right side
    3,125.63x = 45,385,484.77
  5. Step 5: Solve for x
    x = 45,385,484.77/3,125.63
  6. Step 6: Final answer
    x = 14,520.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.