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Finding the Third Proportional to 7,290.34 and 11,310.16

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Solution

The third proportional to 7,290.34 and 11,310.16 is: 17,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.34 : 11,310.16 = 11,310.16 : x
  2. Step 2: Convert to fraction form
    7,290.34/11,310.16 = 11,310.16/x
  3. Step 3: Cross multiply
    7,290.34x = 11,310.16 × 11,310.16
  4. Step 4: Simplify right side
    7,290.34x = 127,919,634.40
  5. Step 5: Solve for x
    x = 127,919,634.40/7,290.34
  6. Step 6: Final answer
    x = 17,546.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.