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Finding the Third Proportional to 25,825.50 and 56,565

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Solution

The third proportional to 25,825.50 and 56,565 is: 123,893.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825.50 : 56,565 = 56,565 : x
  2. Step 2: Convert to fraction form
    25,825.50/56,565 = 56,565/x
  3. Step 3: Cross multiply
    25,825.50x = 56,565 × 56,565
  4. Step 4: Simplify right side
    25,825.50x = 3,199,599,225
  5. Step 5: Solve for x
    x = 3,199,599,225/25,825.50
  6. Step 6: Final answer
    x = 123,893.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.