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Finding the Third Proportional to 15,765 and 23,835

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Solution

The third proportional to 15,765 and 23,835 is: 36,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765 : 23,835 = 23,835 : x
  2. Step 2: Convert to fraction form
    15,765/23,835 = 23,835/x
  3. Step 3: Cross multiply
    15,765x = 23,835 × 23,835
  4. Step 4: Simplify right side
    15,765x = 568,107,225
  5. Step 5: Solve for x
    x = 568,107,225/15,765
  6. Step 6: Final answer
    x = 36,035.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.