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Finding the Third Proportional to 52,022.25 and 74,337.75

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Solution

The third proportional to 52,022.25 and 74,337.75 is: 106,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,022.25 : 74,337.75 = 74,337.75 : x
  2. Step 2: Convert to fraction form
    52,022.25/74,337.75 = 74,337.75/x
  3. Step 3: Cross multiply
    52,022.25x = 74,337.75 × 74,337.75
  4. Step 4: Simplify right side
    52,022.25x = 5,526,101,075.06
  5. Step 5: Solve for x
    x = 5,526,101,075.06/52,022.25
  6. Step 6: Final answer
    x = 106,225.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.