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Finding the Third Proportional to 22,365 and 52,800.75

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Solution

The third proportional to 22,365 and 52,800.75 is: 124,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,365 : 52,800.75 = 52,800.75 : x
  2. Step 2: Convert to fraction form
    22,365/52,800.75 = 52,800.75/x
  3. Step 3: Cross multiply
    22,365x = 52,800.75 × 52,800.75
  4. Step 4: Simplify right side
    22,365x = 2,787,919,200.56
  5. Step 5: Solve for x
    x = 2,787,919,200.56/22,365
  6. Step 6: Final answer
    x = 124,655.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.