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Finding the Third Proportional to 52,951.50 and 74,623.50

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Solution

The third proportional to 52,951.50 and 74,623.50 is: 105,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,951.50 : 74,623.50 = 74,623.50 : x
  2. Step 2: Convert to fraction form
    52,951.50/74,623.50 = 74,623.50/x
  3. Step 3: Cross multiply
    52,951.50x = 74,623.50 × 74,623.50
  4. Step 4: Simplify right side
    52,951.50x = 5,568,666,752.25
  5. Step 5: Solve for x
    x = 5,568,666,752.25/52,951.50
  6. Step 6: Final answer
    x = 105,165.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.