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Finding the Third Proportional to 35,703 and 53,037

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Solution

The third proportional to 35,703 and 53,037 is: 78,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,703 : 53,037 = 53,037 : x
  2. Step 2: Convert to fraction form
    35,703/53,037 = 53,037/x
  3. Step 3: Cross multiply
    35,703x = 53,037 × 53,037
  4. Step 4: Simplify right side
    35,703x = 2,812,923,369
  5. Step 5: Solve for x
    x = 2,812,923,369/35,703
  6. Step 6: Final answer
    x = 78,786.75

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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.