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Finding the Third Proportional to 36,904 and 56,440

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Solution

The third proportional to 36,904 and 56,440 is: 86,317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,904 : 56,440 = 56,440 : x
  2. Step 2: Convert to fraction form
    36,904/56,440 = 56,440/x
  3. Step 3: Cross multiply
    36,904x = 56,440 × 56,440
  4. Step 4: Simplify right side
    36,904x = 3,185,473,600
  5. Step 5: Solve for x
    x = 3,185,473,600/36,904
  6. Step 6: Final answer
    x = 86,317.84

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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.