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Finding the Third Proportional to 56,498.50 and 76,732

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Solution

The third proportional to 56,498.50 and 76,732 is: 104,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,498.50 : 76,732 = 76,732 : x
  2. Step 2: Convert to fraction form
    56,498.50/76,732 = 76,732/x
  3. Step 3: Cross multiply
    56,498.50x = 76,732 × 76,732
  4. Step 4: Simplify right side
    56,498.50x = 5,887,799,824
  5. Step 5: Solve for x
    x = 5,887,799,824/56,498.50
  6. Step 6: Final answer
    x = 104,211.61

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.