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Finding the Third Proportional to 15,762.75 and 34,596.75

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Solution

The third proportional to 15,762.75 and 34,596.75 is: 75,934.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.75 : 34,596.75 = 34,596.75 : x
  2. Step 2: Convert to fraction form
    15,762.75/34,596.75 = 34,596.75/x
  3. Step 3: Cross multiply
    15,762.75x = 34,596.75 × 34,596.75
  4. Step 4: Simplify right side
    15,762.75x = 1,196,935,110.56
  5. Step 5: Solve for x
    x = 1,196,935,110.56/15,762.75
  6. Step 6: Final answer
    x = 75,934.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.