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Finding the Third Proportional to 25,947.25 and 56,430.50

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Solution

The third proportional to 25,947.25 and 56,430.50 is: 122,725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,947.25 : 56,430.50 = 56,430.50 : x
  2. Step 2: Convert to fraction form
    25,947.25/56,430.50 = 56,430.50/x
  3. Step 3: Cross multiply
    25,947.25x = 56,430.50 × 56,430.50
  4. Step 4: Simplify right side
    25,947.25x = 3,184,401,330.25
  5. Step 5: Solve for x
    x = 3,184,401,330.25/25,947.25
  6. Step 6: Final answer
    x = 122,725.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.