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Finding the Third Proportional to 36,391 and 56,207

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Solution

The third proportional to 36,391 and 56,207 is: 86,813.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,391 : 56,207 = 56,207 : x
  2. Step 2: Convert to fraction form
    36,391/56,207 = 56,207/x
  3. Step 3: Cross multiply
    36,391x = 56,207 × 56,207
  4. Step 4: Simplify right side
    36,391x = 3,159,226,849
  5. Step 5: Solve for x
    x = 3,159,226,849/36,391
  6. Step 6: Final answer
    x = 86,813.41

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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.