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Finding the Third Proportional to 7,102 and 16,588

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Solution

The third proportional to 7,102 and 16,588 is: 38,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102 : 16,588 = 16,588 : x
  2. Step 2: Convert to fraction form
    7,102/16,588 = 16,588/x
  3. Step 3: Cross multiply
    7,102x = 16,588 × 16,588
  4. Step 4: Simplify right side
    7,102x = 275,161,744
  5. Step 5: Solve for x
    x = 275,161,744/7,102
  6. Step 6: Final answer
    x = 38,744.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.