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Finding the Third Proportional to 51,551.44 and 77,463.84

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Solution

The third proportional to 51,551.44 and 77,463.84 is: 116,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,551.44 : 77,463.84 = 77,463.84 : x
  2. Step 2: Convert to fraction form
    51,551.44/77,463.84 = 77,463.84/x
  3. Step 3: Cross multiply
    51,551.44x = 77,463.84 × 77,463.84
  4. Step 4: Simplify right side
    51,551.44x = 6,000,647,088.52
  5. Step 5: Solve for x
    x = 6,000,647,088.52/51,551.44
  6. Step 6: Final answer
    x = 116,401.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.