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Finding the Third Proportional to 41,011.50 and 64,250.25

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Solution

The third proportional to 41,011.50 and 64,250.25 is: 100,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,011.50 : 64,250.25 = 64,250.25 : x
  2. Step 2: Convert to fraction form
    41,011.50/64,250.25 = 64,250.25/x
  3. Step 3: Cross multiply
    41,011.50x = 64,250.25 × 64,250.25
  4. Step 4: Simplify right side
    41,011.50x = 4,128,094,625.06
  5. Step 5: Solve for x
    x = 4,128,094,625.06/41,011.50
  6. Step 6: Final answer
    x = 100,657.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.