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Finding the Third Proportional to 36,368 and 56,170

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Solution

The third proportional to 36,368 and 56,170 is: 86,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,368 : 56,170 = 56,170 : x
  2. Step 2: Convert to fraction form
    36,368/56,170 = 56,170/x
  3. Step 3: Cross multiply
    36,368x = 56,170 × 56,170
  4. Step 4: Simplify right side
    36,368x = 3,155,068,900
  5. Step 5: Solve for x
    x = 3,155,068,900/36,368
  6. Step 6: Final answer
    x = 86,753.98

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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.