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Finding the Third Proportional to 36,228.38 and 77,271.63

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Solution

The third proportional to 36,228.38 and 77,271.63 is: 164,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,228.38 : 77,271.63 = 77,271.63 : x
  2. Step 2: Convert to fraction form
    36,228.38/77,271.63 = 77,271.63/x
  3. Step 3: Cross multiply
    36,228.38x = 77,271.63 × 77,271.63
  4. Step 4: Simplify right side
    36,228.38x = 5,970,904,030.14
  5. Step 5: Solve for x
    x = 5,970,904,030.14/36,228.38
  6. Step 6: Final answer
    x = 164,812.91

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.