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Finding the Third Proportional to 15,766 and 23,650

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Solution

The third proportional to 15,766 and 23,650 is: 35,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,766 : 23,650 = 23,650 : x
  2. Step 2: Convert to fraction form
    15,766/23,650 = 23,650/x
  3. Step 3: Cross multiply
    15,766x = 23,650 × 23,650
  4. Step 4: Simplify right side
    15,766x = 559,322,500
  5. Step 5: Solve for x
    x = 559,322,500/15,766
  6. Step 6: Final answer
    x = 35,476.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.