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Finding the Third Proportional to 38,075.06 and 55,812.80

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Solution

The third proportional to 38,075.06 and 55,812.80 is: 81,813.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,075.06 : 55,812.80 = 55,812.80 : x
  2. Step 2: Convert to fraction form
    38,075.06/55,812.80 = 55,812.80/x
  3. Step 3: Cross multiply
    38,075.06x = 55,812.80 × 55,812.80
  4. Step 4: Simplify right side
    38,075.06x = 3,115,068,295.01
  5. Step 5: Solve for x
    x = 3,115,068,295.01/38,075.06
  6. Step 6: Final answer
    x = 81,813.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.