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Finding the Third Proportional to 35,224 and 52,253

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Solution

The third proportional to 35,224 and 52,253 is: 77,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,224 : 52,253 = 52,253 : x
  2. Step 2: Convert to fraction form
    35,224/52,253 = 52,253/x
  3. Step 3: Cross multiply
    35,224x = 52,253 × 52,253
  4. Step 4: Simplify right side
    35,224x = 2,730,376,009
  5. Step 5: Solve for x
    x = 2,730,376,009/35,224
  6. Step 6: Final answer
    x = 77,514.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.