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Finding the Third Proportional to 10,515.66 and 17,525.53

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Solution

The third proportional to 10,515.66 and 17,525.53 is: 29,208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.66 : 17,525.53 = 17,525.53 : x
  2. Step 2: Convert to fraction form
    10,515.66/17,525.53 = 17,525.53/x
  3. Step 3: Cross multiply
    10,515.66x = 17,525.53 × 17,525.53
  4. Step 4: Simplify right side
    10,515.66x = 307,144,245.59
  5. Step 5: Solve for x
    x = 307,144,245.59/10,515.66
  6. Step 6: Final answer
    x = 29,208.28

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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.