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Finding the Third Proportional to 25,755.75 and 56,432.25

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Solution

The third proportional to 25,755.75 and 56,432.25 is: 123,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,755.75 : 56,432.25 = 56,432.25 : x
  2. Step 2: Convert to fraction form
    25,755.75/56,432.25 = 56,432.25/x
  3. Step 3: Cross multiply
    25,755.75x = 56,432.25 × 56,432.25
  4. Step 4: Simplify right side
    25,755.75x = 3,184,598,840.06
  5. Step 5: Solve for x
    x = 3,184,598,840.06/25,755.75
  6. Step 6: Final answer
    x = 123,646.13

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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.