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Finding the Third Proportional to 36,547.88 and 80,075.81

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Solution

The third proportional to 36,547.88 and 80,075.81 is: 175,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,547.88 : 80,075.81 = 80,075.81 : x
  2. Step 2: Convert to fraction form
    36,547.88/80,075.81 = 80,075.81/x
  3. Step 3: Cross multiply
    36,547.88x = 80,075.81 × 80,075.81
  4. Step 4: Simplify right side
    36,547.88x = 6,412,135,747.54
  5. Step 5: Solve for x
    x = 6,412,135,747.54/36,547.88
  6. Step 6: Final answer
    x = 175,444.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.