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Finding the Third Proportional to 28,225 and 38,445

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Solution

The third proportional to 28,225 and 38,445 is: 52,365.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,225 : 38,445 = 38,445 : x
  2. Step 2: Convert to fraction form
    28,225/38,445 = 38,445/x
  3. Step 3: Cross multiply
    28,225x = 38,445 × 38,445
  4. Step 4: Simplify right side
    28,225x = 1,478,018,025
  5. Step 5: Solve for x
    x = 1,478,018,025/28,225
  6. Step 6: Final answer
    x = 52,365.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.