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Finding the Third Proportional to 9,084.66 and 13,266.28

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Solution

The third proportional to 9,084.66 and 13,266.28 is: 19,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.66 : 13,266.28 = 13,266.28 : x
  2. Step 2: Convert to fraction form
    9,084.66/13,266.28 = 13,266.28/x
  3. Step 3: Cross multiply
    9,084.66x = 13,266.28 × 13,266.28
  4. Step 4: Simplify right side
    9,084.66x = 175,994,218.20
  5. Step 5: Solve for x
    x = 175,994,218.20/9,084.66
  6. Step 6: Final answer
    x = 19,372.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.