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Finding the Third Proportional to 15,782 and 23,565

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Solution

The third proportional to 15,782 and 23,565 is: 35,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782 : 23,565 = 23,565 : x
  2. Step 2: Convert to fraction form
    15,782/23,565 = 23,565/x
  3. Step 3: Cross multiply
    15,782x = 23,565 × 23,565
  4. Step 4: Simplify right side
    15,782x = 555,309,225
  5. Step 5: Solve for x
    x = 555,309,225/15,782
  6. Step 6: Final answer
    x = 35,186.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.