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Finding the Third Proportional to 7,411.88 and 11,270.63

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Solution

The third proportional to 7,411.88 and 11,270.63 is: 17,138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.88 : 11,270.63 = 11,270.63 : x
  2. Step 2: Convert to fraction form
    7,411.88/11,270.63 = 11,270.63/x
  3. Step 3: Cross multiply
    7,411.88x = 11,270.63 × 11,270.63
  4. Step 4: Simplify right side
    7,411.88x = 127,026,987.89
  5. Step 5: Solve for x
    x = 127,026,987.89/7,411.88
  6. Step 6: Final answer
    x = 17,138.31

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Why These Related Problems?

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