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Finding the Third Proportional to 35,239 and 52,585

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Solution

The third proportional to 35,239 and 52,585 is: 78,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,239 : 52,585 = 52,585 : x
  2. Step 2: Convert to fraction form
    35,239/52,585 = 52,585/x
  3. Step 3: Cross multiply
    35,239x = 52,585 × 52,585
  4. Step 4: Simplify right side
    35,239x = 2,765,182,225
  5. Step 5: Solve for x
    x = 2,765,182,225/35,239
  6. Step 6: Final answer
    x = 78,469.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.