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Finding the Third Proportional to 27,904.50 and 58,675.50

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Solution

The third proportional to 27,904.50 and 58,675.50 is: 123,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,904.50 : 58,675.50 = 58,675.50 : x
  2. Step 2: Convert to fraction form
    27,904.50/58,675.50 = 58,675.50/x
  3. Step 3: Cross multiply
    27,904.50x = 58,675.50 × 58,675.50
  4. Step 4: Simplify right side
    27,904.50x = 3,442,814,300.25
  5. Step 5: Solve for x
    x = 3,442,814,300.25/27,904.50
  6. Step 6: Final answer
    x = 123,378.46

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.