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Finding the Third Proportional to 6,525.56 and 15,746.91

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Solution

The third proportional to 6,525.56 and 15,746.91 is: 37,999.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.56 : 15,746.91 = 15,746.91 : x
  2. Step 2: Convert to fraction form
    6,525.56/15,746.91 = 15,746.91/x
  3. Step 3: Cross multiply
    6,525.56x = 15,746.91 × 15,746.91
  4. Step 4: Simplify right side
    6,525.56x = 247,965,056.45
  5. Step 5: Solve for x
    x = 247,965,056.45/6,525.56
  6. Step 6: Final answer
    x = 37,999.03

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.