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Finding the Third Proportional to 10,522.75 and 17,535.75

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Solution

The third proportional to 10,522.75 and 17,535.75 is: 29,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.75 : 17,535.75 = 17,535.75 : x
  2. Step 2: Convert to fraction form
    10,522.75/17,535.75 = 17,535.75/x
  3. Step 3: Cross multiply
    10,522.75x = 17,535.75 × 17,535.75
  4. Step 4: Simplify right side
    10,522.75x = 307,502,528.06
  5. Step 5: Solve for x
    x = 307,502,528.06/10,522.75
  6. Step 6: Final answer
    x = 29,222.64

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.