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Finding the Third Proportional to 25,047 and 50,784.75

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Solution

The third proportional to 25,047 and 50,784.75 is: 102,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,047 : 50,784.75 = 50,784.75 : x
  2. Step 2: Convert to fraction form
    25,047/50,784.75 = 50,784.75/x
  3. Step 3: Cross multiply
    25,047x = 50,784.75 × 50,784.75
  4. Step 4: Simplify right side
    25,047x = 2,579,090,832.56
  5. Step 5: Solve for x
    x = 2,579,090,832.56/25,047
  6. Step 6: Final answer
    x = 102,970.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.