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Finding the Third Proportional to 36,842 and 56,659

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Solution

The third proportional to 36,842 and 56,659 is: 87,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,842 : 56,659 = 56,659 : x
  2. Step 2: Convert to fraction form
    36,842/56,659 = 56,659/x
  3. Step 3: Cross multiply
    36,842x = 56,659 × 56,659
  4. Step 4: Simplify right side
    36,842x = 3,210,242,281
  5. Step 5: Solve for x
    x = 3,210,242,281/36,842
  6. Step 6: Final answer
    x = 87,135.40

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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.