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Finding the Third Proportional to 26,196.75 and 56,548.13

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Solution

The third proportional to 26,196.75 and 56,548.13 is: 122,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,196.75 : 56,548.13 = 56,548.13 : x
  2. Step 2: Convert to fraction form
    26,196.75/56,548.13 = 56,548.13/x
  3. Step 3: Cross multiply
    26,196.75x = 56,548.13 × 56,548.13
  4. Step 4: Simplify right side
    26,196.75x = 3,197,690,441.02
  5. Step 5: Solve for x
    x = 3,197,690,441.02/26,196.75
  6. Step 6: Final answer
    x = 122,064.40

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