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Finding the Third Proportional to 7,543.52 and 11,084.34

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Solution

The third proportional to 7,543.52 and 11,084.34 is: 16,287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.52 : 11,084.34 = 11,084.34 : x
  2. Step 2: Convert to fraction form
    7,543.52/11,084.34 = 11,084.34/x
  3. Step 3: Cross multiply
    7,543.52x = 11,084.34 × 11,084.34
  4. Step 4: Simplify right side
    7,543.52x = 122,862,676.37
  5. Step 5: Solve for x
    x = 122,862,676.37/7,543.52
  6. Step 6: Final answer
    x = 16,287.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.