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Finding the Third Proportional to 35,022 and 52,409

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Solution

The third proportional to 35,022 and 52,409 is: 78,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,022 : 52,409 = 52,409 : x
  2. Step 2: Convert to fraction form
    35,022/52,409 = 52,409/x
  3. Step 3: Cross multiply
    35,022x = 52,409 × 52,409
  4. Step 4: Simplify right side
    35,022x = 2,746,703,281
  5. Step 5: Solve for x
    x = 2,746,703,281/35,022
  6. Step 6: Final answer
    x = 78,427.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.