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Finding the Third Proportional to 17,310 and 27,118

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Solution

The third proportional to 17,310 and 27,118 is: 42,483.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,310 : 27,118 = 27,118 : x
  2. Step 2: Convert to fraction form
    17,310/27,118 = 27,118/x
  3. Step 3: Cross multiply
    17,310x = 27,118 × 27,118
  4. Step 4: Simplify right side
    17,310x = 735,385,924
  5. Step 5: Solve for x
    x = 735,385,924/17,310
  6. Step 6: Final answer
    x = 42,483.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.