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Finding the Third Proportional to 27,715.50 and 37,455.75

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Solution

The third proportional to 27,715.50 and 37,455.75 is: 50,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,715.50 : 37,455.75 = 37,455.75 : x
  2. Step 2: Convert to fraction form
    27,715.50/37,455.75 = 37,455.75/x
  3. Step 3: Cross multiply
    27,715.50x = 37,455.75 × 37,455.75
  4. Step 4: Simplify right side
    27,715.50x = 1,402,933,208.06
  5. Step 5: Solve for x
    x = 1,402,933,208.06/27,715.50
  6. Step 6: Final answer
    x = 50,619.08

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.