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Finding the Third Proportional to 41,784.75 and 64,729.13

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Solution

The third proportional to 41,784.75 and 64,729.13 is: 100,272.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,784.75 : 64,729.13 = 64,729.13 : x
  2. Step 2: Convert to fraction form
    41,784.75/64,729.13 = 64,729.13/x
  3. Step 3: Cross multiply
    41,784.75x = 64,729.13 × 64,729.13
  4. Step 4: Simplify right side
    41,784.75x = 4,189,859,623.27
  5. Step 5: Solve for x
    x = 4,189,859,623.27/41,784.75
  6. Step 6: Final answer
    x = 100,272.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.