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Finding the Third Proportional to 7,502 and 11,666

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Solution

The third proportional to 7,502 and 11,666 is: 18,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502 : 11,666 = 11,666 : x
  2. Step 2: Convert to fraction form
    7,502/11,666 = 11,666/x
  3. Step 3: Cross multiply
    7,502x = 11,666 × 11,666
  4. Step 4: Simplify right side
    7,502x = 136,095,556
  5. Step 5: Solve for x
    x = 136,095,556/7,502
  6. Step 6: Final answer
    x = 18,141.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.