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Finding the Third Proportional to 6,525.56 and 9,941.34

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Solution

The third proportional to 6,525.56 and 9,941.34 is: 15,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.56 : 9,941.34 = 9,941.34 : x
  2. Step 2: Convert to fraction form
    6,525.56/9,941.34 = 9,941.34/x
  3. Step 3: Cross multiply
    6,525.56x = 9,941.34 × 9,941.34
  4. Step 4: Simplify right side
    6,525.56x = 98,830,315.56
  5. Step 5: Solve for x
    x = 98,830,315.56/6,525.56
  6. Step 6: Final answer
    x = 15,145.10

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.