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Finding the Third Proportional to 22,896 and 36,560

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Solution

The third proportional to 22,896 and 36,560 is: 58,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896 : 36,560 = 36,560 : x
  2. Step 2: Convert to fraction form
    22,896/36,560 = 36,560/x
  3. Step 3: Cross multiply
    22,896x = 36,560 × 36,560
  4. Step 4: Simplify right side
    22,896x = 1,336,633,600
  5. Step 5: Solve for x
    x = 1,336,633,600/22,896
  6. Step 6: Final answer
    x = 58,378.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.