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Finding the Third Proportional to 40,810 and 86,520

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Solution

The third proportional to 40,810 and 86,520 is: 183,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,810 : 86,520 = 86,520 : x
  2. Step 2: Convert to fraction form
    40,810/86,520 = 86,520/x
  3. Step 3: Cross multiply
    40,810x = 86,520 × 86,520
  4. Step 4: Simplify right side
    40,810x = 7,485,710,400
  5. Step 5: Solve for x
    x = 7,485,710,400/40,810
  6. Step 6: Final answer
    x = 183,428.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.