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Finding the Third Proportional to 40,534.50 and 86,673

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Solution

The third proportional to 40,534.50 and 86,673 is: 185,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,534.50 : 86,673 = 86,673 : x
  2. Step 2: Convert to fraction form
    40,534.50/86,673 = 86,673/x
  3. Step 3: Cross multiply
    40,534.50x = 86,673 × 86,673
  4. Step 4: Simplify right side
    40,534.50x = 7,512,208,929
  5. Step 5: Solve for x
    x = 7,512,208,929/40,534.50
  6. Step 6: Final answer
    x = 185,328.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.