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Finding the Third Proportional to 7,562.06 and 11,330.06

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Solution

The third proportional to 7,562.06 and 11,330.06 is: 16,975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.06 : 11,330.06 = 11,330.06 : x
  2. Step 2: Convert to fraction form
    7,562.06/11,330.06 = 11,330.06/x
  3. Step 3: Cross multiply
    7,562.06x = 11,330.06 × 11,330.06
  4. Step 4: Simplify right side
    7,562.06x = 128,370,316.25
  5. Step 5: Solve for x
    x = 128,370,316.25/7,562.06
  6. Step 6: Final answer
    x = 16,975.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.