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Finding the Third Proportional to 22,727.75 and 48,614.25

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Solution

The third proportional to 22,727.75 and 48,614.25 is: 103,985.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,727.75 : 48,614.25 = 48,614.25 : x
  2. Step 2: Convert to fraction form
    22,727.75/48,614.25 = 48,614.25/x
  3. Step 3: Cross multiply
    22,727.75x = 48,614.25 × 48,614.25
  4. Step 4: Simplify right side
    22,727.75x = 2,363,345,303.06
  5. Step 5: Solve for x
    x = 2,363,345,303.06/22,727.75
  6. Step 6: Final answer
    x = 103,985.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.