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Finding the Third Proportional to 26,718.75 and 57,676.50

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Solution

The third proportional to 26,718.75 and 57,676.50 is: 124,503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,718.75 : 57,676.50 = 57,676.50 : x
  2. Step 2: Convert to fraction form
    26,718.75/57,676.50 = 57,676.50/x
  3. Step 3: Cross multiply
    26,718.75x = 57,676.50 × 57,676.50
  4. Step 4: Simplify right side
    26,718.75x = 3,326,578,652.25
  5. Step 5: Solve for x
    x = 3,326,578,652.25/26,718.75
  6. Step 6: Final answer
    x = 124,503.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.