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Finding the Third Proportional to 27,083 and 40,625

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Solution

The third proportional to 27,083 and 40,625 is: 60,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,083 : 40,625 = 40,625 : x
  2. Step 2: Convert to fraction form
    27,083/40,625 = 40,625/x
  3. Step 3: Cross multiply
    27,083x = 40,625 × 40,625
  4. Step 4: Simplify right side
    27,083x = 1,650,390,625
  5. Step 5: Solve for x
    x = 1,650,390,625/27,083
  6. Step 6: Final answer
    x = 60,938.25

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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.