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Finding the Third Proportional to 7,342.68 and 15,608.00

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Solution

The third proportional to 7,342.68 and 15,608.00 is: 33,177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.68 : 15,608.00 = 15,608.00 : x
  2. Step 2: Convert to fraction form
    7,342.68/15,608.00 = 15,608.00/x
  3. Step 3: Cross multiply
    7,342.68x = 15,608.00 × 15,608.00
  4. Step 4: Simplify right side
    7,342.68x = 243,609,785.94
  5. Step 5: Solve for x
    x = 243,609,785.94/7,342.68
  6. Step 6: Final answer
    x = 33,177.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.