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Finding the Third Proportional to 17,456 and 37,810

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Solution

The third proportional to 17,456 and 37,810 is: 81,897.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,456 : 37,810 = 37,810 : x
  2. Step 2: Convert to fraction form
    17,456/37,810 = 37,810/x
  3. Step 3: Cross multiply
    17,456x = 37,810 × 37,810
  4. Step 4: Simplify right side
    17,456x = 1,429,596,100
  5. Step 5: Solve for x
    x = 1,429,596,100/17,456
  6. Step 6: Final answer
    x = 81,897.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.