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Finding the Third Proportional to 51,084 and 76,695.75

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Solution

The third proportional to 51,084 and 76,695.75 is: 115,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,084 : 76,695.75 = 76,695.75 : x
  2. Step 2: Convert to fraction form
    51,084/76,695.75 = 76,695.75/x
  3. Step 3: Cross multiply
    51,084x = 76,695.75 × 76,695.75
  4. Step 4: Simplify right side
    51,084x = 5,882,238,068.06
  5. Step 5: Solve for x
    x = 5,882,238,068.06/51,084
  6. Step 6: Final answer
    x = 115,148.35

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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.