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Finding the Third Proportional to 25,884 and 56,000.25

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Solution

The third proportional to 25,884 and 56,000.25 is: 121,157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,884 : 56,000.25 = 56,000.25 : x
  2. Step 2: Convert to fraction form
    25,884/56,000.25 = 56,000.25/x
  3. Step 3: Cross multiply
    25,884x = 56,000.25 × 56,000.25
  4. Step 4: Simplify right side
    25,884x = 3,136,028,000.06
  5. Step 5: Solve for x
    x = 3,136,028,000.06/25,884
  6. Step 6: Final answer
    x = 121,157.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.