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Finding the Third Proportional to 52,533.56 and 72,277.31

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Solution

The third proportional to 52,533.56 and 72,277.31 is: 99,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,533.56 : 72,277.31 = 72,277.31 : x
  2. Step 2: Convert to fraction form
    52,533.56/72,277.31 = 72,277.31/x
  3. Step 3: Cross multiply
    52,533.56x = 72,277.31 × 72,277.31
  4. Step 4: Simplify right side
    52,533.56x = 5,224,009,902.22
  5. Step 5: Solve for x
    x = 5,224,009,902.22/52,533.56
  6. Step 6: Final answer
    x = 99,441.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.