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Finding the Third Proportional to 36,424 and 56,066

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Solution

The third proportional to 36,424 and 56,066 is: 86,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,424 : 56,066 = 56,066 : x
  2. Step 2: Convert to fraction form
    36,424/56,066 = 56,066/x
  3. Step 3: Cross multiply
    36,424x = 56,066 × 56,066
  4. Step 4: Simplify right side
    36,424x = 3,143,396,356
  5. Step 5: Solve for x
    x = 3,143,396,356/36,424
  6. Step 6: Final answer
    x = 86,300.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.