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Finding the Third Proportional to 27,256 and 39,986.50

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Solution

The third proportional to 27,256 and 39,986.50 is: 58,663.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,256 : 39,986.50 = 39,986.50 : x
  2. Step 2: Convert to fraction form
    27,256/39,986.50 = 39,986.50/x
  3. Step 3: Cross multiply
    27,256x = 39,986.50 × 39,986.50
  4. Step 4: Simplify right side
    27,256x = 1,598,920,182.25
  5. Step 5: Solve for x
    x = 1,598,920,182.25/27,256
  6. Step 6: Final answer
    x = 58,663.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.