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Finding the Third Proportional to 36,984 and 56,433

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Solution

The third proportional to 36,984 and 56,433 is: 86,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,984 : 56,433 = 56,433 : x
  2. Step 2: Convert to fraction form
    36,984/56,433 = 56,433/x
  3. Step 3: Cross multiply
    36,984x = 56,433 × 56,433
  4. Step 4: Simplify right side
    36,984x = 3,184,683,489
  5. Step 5: Solve for x
    x = 3,184,683,489/36,984
  6. Step 6: Final answer
    x = 86,109.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.