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Finding the Third Proportional to 7,534.90 and 11,644.07

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Solution

The third proportional to 7,534.90 and 11,644.07 is: 17,994.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.90 : 11,644.07 = 11,644.07 : x
  2. Step 2: Convert to fraction form
    7,534.90/11,644.07 = 11,644.07/x
  3. Step 3: Cross multiply
    7,534.90x = 11,644.07 × 11,644.07
  4. Step 4: Simplify right side
    7,534.90x = 135,584,282.47
  5. Step 5: Solve for x
    x = 135,584,282.47/7,534.90
  6. Step 6: Final answer
    x = 17,994.18

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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.