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Finding the Third Proportional to 22,598 and 33,083

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Solution

The third proportional to 22,598 and 33,083 is: 48,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,598 : 33,083 = 33,083 : x
  2. Step 2: Convert to fraction form
    22,598/33,083 = 33,083/x
  3. Step 3: Cross multiply
    22,598x = 33,083 × 33,083
  4. Step 4: Simplify right side
    22,598x = 1,094,484,889
  5. Step 5: Solve for x
    x = 1,094,484,889/22,598
  6. Step 6: Final answer
    x = 48,432.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.