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Finding the Third Proportional to 4,311.56 and 6,501.09

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Solution

The third proportional to 4,311.56 and 6,501.09 is: 9,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.56 : 6,501.09 = 6,501.09 : x
  2. Step 2: Convert to fraction form
    4,311.56/6,501.09 = 6,501.09/x
  3. Step 3: Cross multiply
    4,311.56x = 6,501.09 × 6,501.09
  4. Step 4: Simplify right side
    4,311.56x = 42,264,219.95
  5. Step 5: Solve for x
    x = 42,264,219.95/4,311.56
  6. Step 6: Final answer
    x = 9,802.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.