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Finding the Third Proportional to 25,551 and 56,020.50

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Solution

The third proportional to 25,551 and 56,020.50 is: 122,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,551 : 56,020.50 = 56,020.50 : x
  2. Step 2: Convert to fraction form
    25,551/56,020.50 = 56,020.50/x
  3. Step 3: Cross multiply
    25,551x = 56,020.50 × 56,020.50
  4. Step 4: Simplify right side
    25,551x = 3,138,296,420.25
  5. Step 5: Solve for x
    x = 3,138,296,420.25/25,551
  6. Step 6: Final answer
    x = 122,824.80

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Why These Related Problems?

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