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Finding the Third Proportional to 22,257 and 29,533.50

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Solution

The third proportional to 22,257 and 29,533.50 is: 39,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,257 : 29,533.50 = 29,533.50 : x
  2. Step 2: Convert to fraction form
    22,257/29,533.50 = 29,533.50/x
  3. Step 3: Cross multiply
    22,257x = 29,533.50 × 29,533.50
  4. Step 4: Simplify right side
    22,257x = 872,227,622.25
  5. Step 5: Solve for x
    x = 872,227,622.25/22,257
  6. Step 6: Final answer
    x = 39,188.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.