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Finding the Third Proportional to 22,509.56 and 48,354.75

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Solution

The third proportional to 22,509.56 and 48,354.75 is: 103,875.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.56 : 48,354.75 = 48,354.75 : x
  2. Step 2: Convert to fraction form
    22,509.56/48,354.75 = 48,354.75/x
  3. Step 3: Cross multiply
    22,509.56x = 48,354.75 × 48,354.75
  4. Step 4: Simplify right side
    22,509.56x = 2,338,181,847.56
  5. Step 5: Solve for x
    x = 2,338,181,847.56/22,509.56
  6. Step 6: Final answer
    x = 103,875.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.