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Finding the Third Proportional to 56,731.50 and 82,964

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Solution

The third proportional to 56,731.50 and 82,964 is: 121,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,731.50 : 82,964 = 82,964 : x
  2. Step 2: Convert to fraction form
    56,731.50/82,964 = 82,964/x
  3. Step 3: Cross multiply
    56,731.50x = 82,964 × 82,964
  4. Step 4: Simplify right side
    56,731.50x = 6,883,025,296
  5. Step 5: Solve for x
    x = 6,883,025,296/56,731.50
  6. Step 6: Final answer
    x = 121,326.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.