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Finding the Third Proportional to 35,402 and 53,182

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Solution

The third proportional to 35,402 and 53,182 is: 79,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,402 : 53,182 = 53,182 : x
  2. Step 2: Convert to fraction form
    35,402/53,182 = 53,182/x
  3. Step 3: Cross multiply
    35,402x = 53,182 × 53,182
  4. Step 4: Simplify right side
    35,402x = 2,828,325,124
  5. Step 5: Solve for x
    x = 2,828,325,124/35,402
  6. Step 6: Final answer
    x = 79,891.68

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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.