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Finding the Third Proportional to 36,374 and 56,184

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Solution

The third proportional to 36,374 and 56,184 is: 86,782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,374 : 56,184 = 56,184 : x
  2. Step 2: Convert to fraction form
    36,374/56,184 = 56,184/x
  3. Step 3: Cross multiply
    36,374x = 56,184 × 56,184
  4. Step 4: Simplify right side
    36,374x = 3,156,641,856
  5. Step 5: Solve for x
    x = 3,156,641,856/36,374
  6. Step 6: Final answer
    x = 86,782.92

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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.