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Finding the Third Proportional to 35,700 and 50,207

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Solution

The third proportional to 35,700 and 50,207 is: 70,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,700 : 50,207 = 50,207 : x
  2. Step 2: Convert to fraction form
    35,700/50,207 = 50,207/x
  3. Step 3: Cross multiply
    35,700x = 50,207 × 50,207
  4. Step 4: Simplify right side
    35,700x = 2,520,742,849
  5. Step 5: Solve for x
    x = 2,520,742,849/35,700
  6. Step 6: Final answer
    x = 70,609.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.