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Finding the Third Proportional to 51,807.50 and 76,011

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Solution

The third proportional to 51,807.50 and 76,011 is: 111,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,807.50 : 76,011 = 76,011 : x
  2. Step 2: Convert to fraction form
    51,807.50/76,011 = 76,011/x
  3. Step 3: Cross multiply
    51,807.50x = 76,011 × 76,011
  4. Step 4: Simplify right side
    51,807.50x = 5,777,672,121
  5. Step 5: Solve for x
    x = 5,777,672,121/51,807.50
  6. Step 6: Final answer
    x = 111,521.92

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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.