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Finding the Third Proportional to 22,572 and 33,202

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Solution

The third proportional to 22,572 and 33,202 is: 48,838.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,572 : 33,202 = 33,202 : x
  2. Step 2: Convert to fraction form
    22,572/33,202 = 33,202/x
  3. Step 3: Cross multiply
    22,572x = 33,202 × 33,202
  4. Step 4: Simplify right side
    22,572x = 1,102,372,804
  5. Step 5: Solve for x
    x = 1,102,372,804/22,572
  6. Step 6: Final answer
    x = 48,838.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.