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Finding the Third Proportional to 27,548.16 and 40,917.23

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Solution

The third proportional to 27,548.16 and 40,917.23 is: 60,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,548.16 : 40,917.23 = 40,917.23 : x
  2. Step 2: Convert to fraction form
    27,548.16/40,917.23 = 40,917.23/x
  3. Step 3: Cross multiply
    27,548.16x = 40,917.23 × 40,917.23
  4. Step 4: Simplify right side
    27,548.16x = 1,674,220,068.90
  5. Step 5: Solve for x
    x = 1,674,220,068.90/27,548.16
  6. Step 6: Final answer
    x = 60,774.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.