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Finding the Third Proportional to 15,763.50 and 36,553.50

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Solution

The third proportional to 15,763.50 and 36,553.50 is: 84,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,763.50 : 36,553.50 = 36,553.50 : x
  2. Step 2: Convert to fraction form
    15,763.50/36,553.50 = 36,553.50/x
  3. Step 3: Cross multiply
    15,763.50x = 36,553.50 × 36,553.50
  4. Step 4: Simplify right side
    15,763.50x = 1,336,158,362.25
  5. Step 5: Solve for x
    x = 1,336,158,362.25/15,763.50
  6. Step 6: Final answer
    x = 84,762.80

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.