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Finding the Third Proportional to 27,606.75 and 42,826.50

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Solution

The third proportional to 27,606.75 and 42,826.50 is: 66,436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,606.75 : 42,826.50 = 42,826.50 : x
  2. Step 2: Convert to fraction form
    27,606.75/42,826.50 = 42,826.50/x
  3. Step 3: Cross multiply
    27,606.75x = 42,826.50 × 42,826.50
  4. Step 4: Simplify right side
    27,606.75x = 1,834,109,102.25
  5. Step 5: Solve for x
    x = 1,834,109,102.25/27,606.75
  6. Step 6: Final answer
    x = 66,436.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.