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Finding the Third Proportional to 6,581.25 and 10,461.66

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Solution

The third proportional to 6,581.25 and 10,461.66 is: 16,630.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.25 : 10,461.66 = 10,461.66 : x
  2. Step 2: Convert to fraction form
    6,581.25/10,461.66 = 10,461.66/x
  3. Step 3: Cross multiply
    6,581.25x = 10,461.66 × 10,461.66
  4. Step 4: Simplify right side
    6,581.25x = 109,446,251.49
  5. Step 5: Solve for x
    x = 109,446,251.49/6,581.25
  6. Step 6: Final answer
    x = 16,630.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.