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Finding the Third Proportional to 6,551.51 and 10,216.76

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Solution

The third proportional to 6,551.51 and 10,216.76 is: 15,932.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.51 : 10,216.76 = 10,216.76 : x
  2. Step 2: Convert to fraction form
    6,551.51/10,216.76 = 10,216.76/x
  3. Step 3: Cross multiply
    6,551.51x = 10,216.76 × 10,216.76
  4. Step 4: Simplify right side
    6,551.51x = 104,382,140.20
  5. Step 5: Solve for x
    x = 104,382,140.20/6,551.51
  6. Step 6: Final answer
    x = 15,932.54

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.