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Finding the Third Proportional to 25,479 and 56,000.25

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Solution

The third proportional to 25,479 and 56,000.25 is: 123,082.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,479 : 56,000.25 = 56,000.25 : x
  2. Step 2: Convert to fraction form
    25,479/56,000.25 = 56,000.25/x
  3. Step 3: Cross multiply
    25,479x = 56,000.25 × 56,000.25
  4. Step 4: Simplify right side
    25,479x = 3,136,028,000.06
  5. Step 5: Solve for x
    x = 3,136,028,000.06/25,479
  6. Step 6: Final answer
    x = 123,082.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.