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Finding the Third Proportional to 41,835 and 92,009.25

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Solution

The third proportional to 41,835 and 92,009.25 is: 202,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,835 : 92,009.25 = 92,009.25 : x
  2. Step 2: Convert to fraction form
    41,835/92,009.25 = 92,009.25/x
  3. Step 3: Cross multiply
    41,835x = 92,009.25 × 92,009.25
  4. Step 4: Simplify right side
    41,835x = 8,465,702,085.56
  5. Step 5: Solve for x
    x = 8,465,702,085.56/41,835
  6. Step 6: Final answer
    x = 202,359.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.